What is the Greatest Common Factor of 77627 and 77638?

Greatest common factor (GCF) of 77627 and 77638 is 11.

GCF(77627,77638) = 11

We will now calculate the prime factors of 77627 and 77638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77627 and 77638.

How to find the GCF of 77627 and 77638?

We will first find the prime factorization of 77627 and 77638. After we will calculate the factors of 77627 and 77638 and find the biggest common factor number .

Step-1: Prime Factorization of 77627

Prime factors of 77627 are 11, 7057. Prime factorization of 77627 in exponential form is:

77627 = 11¹ × 7057¹

Step-2: Prime Factorization of 77638

Prime factors of 77638 are 2, 11, 3529. Prime factorization of 77638 in exponential form is:

77638 = 2¹ × 11¹ × 3529¹

Step-3: Factors of 77627

List of positive integer factors of 77627 that divides 77627 without a remainder.

1, 11, 7057

Step-4: Factors of 77638

List of positive integer factors of 77638 that divides 77627 without a remainder.

1, 2, 11, 22, 3529, 7058, 38819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77627 and 77638. The biggest common factor number is the GCF number.
So the greatest common factor 77627 and 77638 is 11.

Also check out the Least Common Multiple of 77627 and 77638