What is the Greatest Common Factor of 77676 and 77696?

Greatest common factor (GCF) of 77676 and 77696 is 4.

GCF(77676,77696) = 4

We will now calculate the prime factors of 77676 and 77696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77676 and 77696.

How to find the GCF of 77676 and 77696?

We will first find the prime factorization of 77676 and 77696. After we will calculate the factors of 77676 and 77696 and find the biggest common factor number .

Step-1: Prime Factorization of 77676

Prime factors of 77676 are 2, 3, 6473. Prime factorization of 77676 in exponential form is:

77676 = 2² × 3¹ × 6473¹

Step-2: Prime Factorization of 77696

Prime factors of 77696 are 2, 607. Prime factorization of 77696 in exponential form is:

77696 = 2⁷ × 607¹

Step-3: Factors of 77676

List of positive integer factors of 77676 that divides 77676 without a remainder.

1, 2, 3, 4, 6, 12, 6473, 12946, 19419, 25892, 38838

Step-4: Factors of 77696

List of positive integer factors of 77696 that divides 77676 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 607, 1214, 2428, 4856, 9712, 19424, 38848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77676 and 77696. The biggest common factor number is the GCF number.
So the greatest common factor 77676 and 77696 is 4.

Also check out the Least Common Multiple of 77676 and 77696