What is the Greatest Common Factor of 76999 and 77012?

Greatest common factor (GCF) of 76999 and 77012 is 13.

GCF(76999,77012) = 13

We will now calculate the prime factors of 76999 and 77012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76999 and 77012.

How to find the GCF of 76999 and 77012?

We will first find the prime factorization of 76999 and 77012. After we will calculate the factors of 76999 and 77012 and find the biggest common factor number .

Step-1: Prime Factorization of 76999

Prime factors of 76999 are 13, 5923. Prime factorization of 76999 in exponential form is:

76999 = 13¹ × 5923¹

Step-2: Prime Factorization of 77012

Prime factors of 77012 are 2, 13, 1481. Prime factorization of 77012 in exponential form is:

77012 = 2² × 13¹ × 1481¹

Step-3: Factors of 76999

List of positive integer factors of 76999 that divides 76999 without a remainder.

1, 13, 5923

Step-4: Factors of 77012

List of positive integer factors of 77012 that divides 76999 without a remainder.

1, 2, 4, 13, 26, 52, 1481, 2962, 5924, 19253, 38506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76999 and 77012. The biggest common factor number is the GCF number.
So the greatest common factor 76999 and 77012 is 13.

Also check out the Least Common Multiple of 76999 and 77012