What is the Greatest Common Factor of 77613 and 77631?

Greatest common factor (GCF) of 77613 and 77631 is 3.

GCF(77613,77631) = 3

We will now calculate the prime factors of 77613 and 77631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77613 and 77631.

How to find the GCF of 77613 and 77631?

We will first find the prime factorization of 77613 and 77631. After we will calculate the factors of 77613 and 77631 and find the biggest common factor number .

Step-1: Prime Factorization of 77613

Prime factors of 77613 are 3, 41, 631. Prime factorization of 77613 in exponential form is:

77613 = 3¹ × 41¹ × 631¹

Step-2: Prime Factorization of 77631

Prime factors of 77631 are 3, 113, 229. Prime factorization of 77631 in exponential form is:

77631 = 3¹ × 113¹ × 229¹

Step-3: Factors of 77613

List of positive integer factors of 77613 that divides 77613 without a remainder.

1, 3, 41, 123, 631, 1893, 25871

Step-4: Factors of 77631

List of positive integer factors of 77631 that divides 77613 without a remainder.

1, 3, 113, 229, 339, 687, 25877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77613 and 77631. The biggest common factor number is the GCF number.
So the greatest common factor 77613 and 77631 is 3.

Also check out the Least Common Multiple of 77613 and 77631