What is the Greatest Common Factor of 74709 and 74718?

Greatest common factor (GCF) of 74709 and 74718 is 9.

GCF(74709,74718) = 9

We will now calculate the prime factors of 74709 and 74718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74709 and 74718.

How to find the GCF of 74709 and 74718?

We will first find the prime factorization of 74709 and 74718. After we will calculate the factors of 74709 and 74718 and find the biggest common factor number .

Step-1: Prime Factorization of 74709

Prime factors of 74709 are 3, 2767. Prime factorization of 74709 in exponential form is:

74709 = 3³ × 2767¹

Step-2: Prime Factorization of 74718

Prime factors of 74718 are 2, 3, 7, 593. Prime factorization of 74718 in exponential form is:

74718 = 2¹ × 3² × 7¹ × 593¹

Step-3: Factors of 74709

List of positive integer factors of 74709 that divides 74709 without a remainder.

1, 3, 9, 27, 2767, 8301, 24903

Step-4: Factors of 74718

List of positive integer factors of 74718 that divides 74709 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 593, 1186, 1779, 3558, 4151, 5337, 8302, 10674, 12453, 24906, 37359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74709 and 74718. The biggest common factor number is the GCF number.
So the greatest common factor 74709 and 74718 is 9.

Also check out the Least Common Multiple of 74709 and 74718