What is the Greatest Common Factor of 77452 and 77468?

Greatest common factor (GCF) of 77452 and 77468 is 4.

GCF(77452,77468) = 4

We will now calculate the prime factors of 77452 and 77468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77452 and 77468.

How to find the GCF of 77452 and 77468?

We will first find the prime factorization of 77452 and 77468. After we will calculate the factors of 77452 and 77468 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 77468

Prime factors of 77468 are 2, 107, 181. Prime factorization of 77468 in exponential form is:

77468 = 2² × 107¹ × 181¹

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 77468

List of positive integer factors of 77468 that divides 77452 without a remainder.

1, 2, 4, 107, 181, 214, 362, 428, 724, 19367, 38734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77452 and 77468. The biggest common factor number is the GCF number.
So the greatest common factor 77452 and 77468 is 4.

Also check out the Least Common Multiple of 77452 and 77468