What is the Greatest Common Factor of 77538 and 77557?

Greatest common factor (GCF) of 77538 and 77557 is 1.

GCF(77538,77557) = 1

We will now calculate the prime factors of 77538 and 77557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77538 and 77557.

How to find the GCF of 77538 and 77557?

We will first find the prime factorization of 77538 and 77557. After we will calculate the factors of 77538 and 77557 and find the biggest common factor number .

Step-1: Prime Factorization of 77538

Prime factors of 77538 are 2, 3, 12923. Prime factorization of 77538 in exponential form is:

77538 = 2¹ × 3¹ × 12923¹

Step-2: Prime Factorization of 77557

Prime factors of 77557 are 77557. Prime factorization of 77557 in exponential form is:

77557 = 77557¹

Step-3: Factors of 77538

List of positive integer factors of 77538 that divides 77538 without a remainder.

1, 2, 3, 6, 12923, 25846, 38769

Step-4: Factors of 77557

List of positive integer factors of 77557 that divides 77538 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77538 and 77557. The biggest common factor number is the GCF number.
So the greatest common factor 77538 and 77557 is 1.

Also check out the Least Common Multiple of 77538 and 77557