What is the Greatest Common Factor of 77902 and 77912?

Greatest common factor (GCF) of 77902 and 77912 is 2.

GCF(77902,77912) = 2

We will now calculate the prime factors of 77902 and 77912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77902 and 77912.

How to find the GCF of 77902 and 77912?

We will first find the prime factorization of 77902 and 77912. After we will calculate the factors of 77902 and 77912 and find the biggest common factor number .

Step-1: Prime Factorization of 77902

Prime factors of 77902 are 2, 11, 3541. Prime factorization of 77902 in exponential form is:

77902 = 2¹ × 11¹ × 3541¹

Step-2: Prime Factorization of 77912

Prime factors of 77912 are 2, 9739. Prime factorization of 77912 in exponential form is:

77912 = 2³ × 9739¹

Step-3: Factors of 77902

List of positive integer factors of 77902 that divides 77902 without a remainder.

1, 2, 11, 22, 3541, 7082, 38951

Step-4: Factors of 77912

List of positive integer factors of 77912 that divides 77902 without a remainder.

1, 2, 4, 8, 9739, 19478, 38956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77902 and 77912. The biggest common factor number is the GCF number.
So the greatest common factor 77902 and 77912 is 2.

Also check out the Least Common Multiple of 77902 and 77912