What is the Greatest Common Factor of 77666 and 77682?

Greatest common factor (GCF) of 77666 and 77682 is 2.

GCF(77666,77682) = 2

We will now calculate the prime factors of 77666 and 77682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77666 and 77682.

How to find the GCF of 77666 and 77682?

We will first find the prime factorization of 77666 and 77682. After we will calculate the factors of 77666 and 77682 and find the biggest common factor number .

Step-1: Prime Factorization of 77666

Prime factors of 77666 are 2, 38833. Prime factorization of 77666 in exponential form is:

77666 = 2¹ × 38833¹

Step-2: Prime Factorization of 77682

Prime factors of 77682 are 2, 3, 11, 107. Prime factorization of 77682 in exponential form is:

77682 = 2¹ × 3¹ × 11² × 107¹

Step-3: Factors of 77666

List of positive integer factors of 77666 that divides 77666 without a remainder.

1, 2, 38833

Step-4: Factors of 77682

List of positive integer factors of 77682 that divides 77666 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 107, 121, 214, 242, 321, 363, 642, 726, 1177, 2354, 3531, 7062, 12947, 25894, 38841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77666 and 77682. The biggest common factor number is the GCF number.
So the greatest common factor 77666 and 77682 is 2.

Also check out the Least Common Multiple of 77666 and 77682