What is the Greatest Common Factor of 77452 and 77460?

Greatest common factor (GCF) of 77452 and 77460 is 4.

GCF(77452,77460) = 4

We will now calculate the prime factors of 77452 and 77460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77452 and 77460.

How to find the GCF of 77452 and 77460?

We will first find the prime factorization of 77452 and 77460. After we will calculate the factors of 77452 and 77460 and find the biggest common factor number .

Step-1: Prime Factorization of 77452

Prime factors of 77452 are 2, 17, 67. Prime factorization of 77452 in exponential form is:

77452 = 2² × 17² × 67¹

Step-2: Prime Factorization of 77460

Prime factors of 77460 are 2, 3, 5, 1291. Prime factorization of 77460 in exponential form is:

77460 = 2² × 3¹ × 5¹ × 1291¹

Step-3: Factors of 77452

List of positive integer factors of 77452 that divides 77452 without a remainder.

1, 2, 4, 17, 34, 67, 68, 134, 268, 289, 578, 1139, 1156, 2278, 4556, 19363, 38726

Step-4: Factors of 77460

List of positive integer factors of 77460 that divides 77452 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1291, 2582, 3873, 5164, 6455, 7746, 12910, 15492, 19365, 25820, 38730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77452 and 77460. The biggest common factor number is the GCF number.
So the greatest common factor 77452 and 77460 is 4.

Also check out the Least Common Multiple of 77452 and 77460