Answer:
Greatest (highest) common factor (divisor)
gcf, hcf, gcd (675; 150) = 75 = 3 × 52;
The numbers have common prime factors.
Step-by-step explanation:
675 = 33 × 52;
150 = 2 × 3 × 52;
Multiply all the common prime factors, by the lowest exponents.
Greatest (highest) common factor (divisor):
gcf, hcf, gcd (675; 150) = 3 × 52
Step 1. Divide the larger number by the smaller one:
675 ÷ 150 = 4 + 75;
Step 2. Divide the smaller number by the above operation's remainder:
150 ÷ 75 = 2 + 0;
At this step, the remainder is zero, so we stop:
75 is the number we were looking for, the last remainder that is not zero.
This is the greatest common factor (divisor).
Greatest (highest) common factor (divisor):
gcf, hcf, gcd (675; 150) = 75
gcf, hcf, gcd (675; 150) = 75 = 3 × 52
