What is the Greatest Common Factor of 74718 and 74729?

Greatest common factor (GCF) of 74718 and 74729 is 1.

GCF(74718,74729) = 1

We will now calculate the prime factors of 74718 and 74729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74718 and 74729.

How to find the GCF of 74718 and 74729?

We will first find the prime factorization of 74718 and 74729. After we will calculate the factors of 74718 and 74729 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74729

Prime factors of 74729 are 74729. Prime factorization of 74729 in exponential form is:

74729 = 74729¹

Step-3: Factors of 74718

List of positive integer factors of 74718 that divides 74718 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

Step-4: Factors of 74729

List of positive integer factors of 74729 that divides 74718 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74718 and 74729. The biggest common factor number is the GCF number.
So the greatest common factor 74718 and 74729 is 1.

Also check out the Least Common Multiple of 74718 and 74729