What is the Greatest Common Factor of 77619 and 77637?

Greatest common factor (GCF) of 77619 and 77637 is 3.

GCF(77619,77637) = 3

We will now calculate the prime factors of 77619 and 77637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77619 and 77637.

How to find the GCF of 77619 and 77637?

We will first find the prime factorization of 77619 and 77637. After we will calculate the factors of 77619 and 77637 and find the biggest common factor number .

Step-1: Prime Factorization of 77619

Prime factors of 77619 are 3, 25873. Prime factorization of 77619 in exponential form is:

77619 = 3¹ × 25873¹

Step-2: 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-3: Factors of 77619

List of positive integer factors of 77619 that divides 77619 without a remainder.

1, 3, 25873

Step-4: Factors of 77637

List of positive integer factors of 77637 that divides 77619 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77619 and 77637. The biggest common factor number is the GCF number.
So the greatest common factor 77619 and 77637 is 3.

Also check out the Least Common Multiple of 77619 and 77637