What is the Greatest Common Factor of 77708 and 77726?

Greatest common factor (GCF) of 77708 and 77726 is 2.

GCF(77708,77726) = 2

We will now calculate the prime factors of 77708 and 77726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77708 and 77726.

How to find the GCF of 77708 and 77726?

We will first find the prime factorization of 77708 and 77726. After we will calculate the factors of 77708 and 77726 and find the biggest common factor number .

Step-1: Prime Factorization of 77708

Prime factors of 77708 are 2, 19427. Prime factorization of 77708 in exponential form is:

77708 = 2² × 19427¹

Step-2: Prime Factorization of 77726

Prime factors of 77726 are 2, 11, 3533. Prime factorization of 77726 in exponential form is:

77726 = 2¹ × 11¹ × 3533¹

Step-3: Factors of 77708

List of positive integer factors of 77708 that divides 77708 without a remainder.

1, 2, 4, 19427, 38854

Step-4: Factors of 77726

List of positive integer factors of 77726 that divides 77708 without a remainder.

1, 2, 11, 22, 3533, 7066, 38863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77708 and 77726. The biggest common factor number is the GCF number.
So the greatest common factor 77708 and 77726 is 2.

Also check out the Least Common Multiple of 77708 and 77726