What is the Greatest Common Factor of 77644 and 77651?

Greatest common factor (GCF) of 77644 and 77651 is 7.

GCF(77644,77651) = 7

We will now calculate the prime factors of 77644 and 77651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77644 and 77651.

How to find the GCF of 77644 and 77651?

We will first find the prime factorization of 77644 and 77651. After we will calculate the factors of 77644 and 77651 and find the biggest common factor number .

Step-1: Prime Factorization of 77644

Prime factors of 77644 are 2, 7, 47, 59. Prime factorization of 77644 in exponential form is:

77644 = 2² × 7¹ × 47¹ × 59¹

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 77644

List of positive integer factors of 77644 that divides 77644 without a remainder.

1, 2, 4, 7, 14, 28, 47, 59, 94, 118, 188, 236, 329, 413, 658, 826, 1316, 1652, 2773, 5546, 11092, 19411, 38822

Step-4: Factors of 77651

List of positive integer factors of 77651 that divides 77644 without a remainder.

1, 7, 11093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77644 and 77651. The biggest common factor number is the GCF number.
So the greatest common factor 77644 and 77651 is 7.

Also check out the Least Common Multiple of 77644 and 77651