What is the Greatest Common Factor of 77516 and 77528?

Greatest common factor (GCF) of 77516 and 77528 is 4.

GCF(77516,77528) = 4

We will now calculate the prime factors of 77516 and 77528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77516 and 77528.

How to find the GCF of 77516 and 77528?

We will first find the prime factorization of 77516 and 77528. After we will calculate the factors of 77516 and 77528 and find the biggest common factor number .

Step-1: Prime Factorization of 77516

Prime factors of 77516 are 2, 19379. Prime factorization of 77516 in exponential form is:

77516 = 2² × 19379¹

Step-2: Prime Factorization of 77528

Prime factors of 77528 are 2, 11, 881. Prime factorization of 77528 in exponential form is:

77528 = 2³ × 11¹ × 881¹

Step-3: Factors of 77516

List of positive integer factors of 77516 that divides 77516 without a remainder.

1, 2, 4, 19379, 38758

Step-4: Factors of 77528

List of positive integer factors of 77528 that divides 77516 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 881, 1762, 3524, 7048, 9691, 19382, 38764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77516 and 77528. The biggest common factor number is the GCF number.
So the greatest common factor 77516 and 77528 is 4.

Also check out the Least Common Multiple of 77516 and 77528