What is the Greatest Common Factor of 77667 and 77682?

Greatest common factor (GCF) of 77667 and 77682 is 3.

GCF(77667,77682) = 3

We will now calculate the prime factors of 77667 and 77682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77667 and 77682.

How to find the GCF of 77667 and 77682?

We will first find the prime factorization of 77667 and 77682. After we will calculate the factors of 77667 and 77682 and find the biggest common factor number .

Step-1: Prime Factorization of 77667

Prime factors of 77667 are 3, 25889. Prime factorization of 77667 in exponential form is:

77667 = 3¹ × 25889¹

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 77667

List of positive integer factors of 77667 that divides 77667 without a remainder.

1, 3, 25889

Step-4: Factors of 77682

List of positive integer factors of 77682 that divides 77667 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 77667 and 77682. The biggest common factor number is the GCF number.
So the greatest common factor 77667 and 77682 is 3.

Also check out the Least Common Multiple of 77667 and 77682