What is the Greatest Common Factor of 77538 and 77554?

Greatest common factor (GCF) of 77538 and 77554 is 2.

GCF(77538,77554) = 2

We will now calculate the prime factors of 77538 and 77554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77538 and 77554.

How to find the GCF of 77538 and 77554?

We will first find the prime factorization of 77538 and 77554. After we will calculate the factors of 77538 and 77554 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 77554

Prime factors of 77554 are 2, 17, 2281. Prime factorization of 77554 in exponential form is:

77554 = 2¹ × 17¹ × 2281¹

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 77554

List of positive integer factors of 77554 that divides 77538 without a remainder.

1, 2, 17, 34, 2281, 4562, 38777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77538 and 77554. The biggest common factor number is the GCF number.
So the greatest common factor 77538 and 77554 is 2.

Also check out the Least Common Multiple of 77538 and 77554