Answer: 16
Step-by-step explanation:
We will now calculate the prime factors of 80 and 96, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80 and 96.
List of positive integer factors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40
List of positive integer factors of 96 that divides 80 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48
We found the factors and prime factorization of 80 and 96. The biggest common factor number is the GCF number.
So the greatest common factor 80 and 96 is 16.
The greatest common factor of 96 and 80 will be 16.
The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
For example in 6 and 12 6 is the highest common factor.
Given,
96 and 80
Common factor of 96 = 1,2,3,4,6,8,12,16, 24, 32, 48, and 96.
The common factor of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
So,
The highest among all is 16
Hence, the greatest common factor between 96 and 80 will be 16.
To learn more about the highest common factor
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