What is the Greatest Common Factor of 77457 and 77468?

Greatest common factor (GCF) of 77457 and 77468 is 1.

GCF(77457,77468) = 1

We will now calculate the prime factors of 77457 and 77468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77457 and 77468.

How to find the GCF of 77457 and 77468?

We will first find the prime factorization of 77457 and 77468. After we will calculate the factors of 77457 and 77468 and find the biggest common factor number .

Step-1: Prime Factorization of 77457

Prime factors of 77457 are 3, 25819. Prime factorization of 77457 in exponential form is:

77457 = 3¹ × 25819¹

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 77457

List of positive integer factors of 77457 that divides 77457 without a remainder.

1, 3, 25819

Step-4: Factors of 77468

List of positive integer factors of 77468 that divides 77457 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 77457 and 77468. The biggest common factor number is the GCF number.
So the greatest common factor 77457 and 77468 is 1.

Also check out the Least Common Multiple of 77457 and 77468