What is the Greatest Common Factor of 77607 and 77619?

Greatest common factor (GCF) of 77607 and 77619 is 3.

GCF(77607,77619) = 3

We will now calculate the prime factors of 77607 and 77619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77607 and 77619.

How to find the GCF of 77607 and 77619?

We will first find the prime factorization of 77607 and 77619. After we will calculate the factors of 77607 and 77619 and find the biggest common factor number .

Step-1: Prime Factorization of 77607

Prime factors of 77607 are 3, 8623. Prime factorization of 77607 in exponential form is:

77607 = 3² × 8623¹

Step-2: Prime Factorization of 77619

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

77619 = 3¹ × 25873¹

Step-3: Factors of 77607

List of positive integer factors of 77607 that divides 77607 without a remainder.

1, 3, 9, 8623, 25869

Step-4: Factors of 77619

List of positive integer factors of 77619 that divides 77607 without a remainder.

1, 3, 25873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77607 and 77619. The biggest common factor number is the GCF number.
So the greatest common factor 77607 and 77619 is 3.

Also check out the Least Common Multiple of 77607 and 77619