What is the Greatest Common Factor of 77637 and 77651?

Greatest common factor (GCF) of 77637 and 77651 is 7.

GCF(77637,77651) = 7

We will now calculate the prime factors of 77637 and 77651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77637 and 77651.

How to find the GCF of 77637 and 77651?

We will first find the prime factorization of 77637 and 77651. After we will calculate the factors of 77637 and 77651 and find the biggest common factor number .

Step-1: Prime Factorization of 77637

Prime factors of 77637 are 3, 7, 3697. Prime factorization of 77637 in exponential form is:

77637 = 3¹ × 7¹ × 3697¹

Step-2: Prime Factorization of 77651

Prime factors of 77651 are 7, 11093. Prime factorization of 77651 in exponential form is:

77651 = 7¹ × 11093¹

Step-3: Factors of 77637

List of positive integer factors of 77637 that divides 77637 without a remainder.

1, 3, 7, 21, 3697, 11091, 25879

Step-4: Factors of 77651

List of positive integer factors of 77651 that divides 77637 without a remainder.

1, 7, 11093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77637 and 77651. The biggest common factor number is the GCF number.
So the greatest common factor 77637 and 77651 is 7.

Also check out the Least Common Multiple of 77637 and 77651