What is the Greatest Common Factor of 77164 and 77182?

Greatest common factor (GCF) of 77164 and 77182 is 2.

GCF(77164,77182) = 2

We will now calculate the prime factors of 77164 and 77182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77164 and 77182.

How to find the GCF of 77164 and 77182?

We will first find the prime factorization of 77164 and 77182. After we will calculate the factors of 77164 and 77182 and find the biggest common factor number .

Step-1: Prime Factorization of 77164

Prime factors of 77164 are 2, 101, 191. Prime factorization of 77164 in exponential form is:

77164 = 2² × 101¹ × 191¹

Step-2: Prime Factorization of 77182

Prime factors of 77182 are 2, 7, 37, 149. Prime factorization of 77182 in exponential form is:

77182 = 2¹ × 7¹ × 37¹ × 149¹

Step-3: Factors of 77164

List of positive integer factors of 77164 that divides 77164 without a remainder.

1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582

Step-4: Factors of 77182

List of positive integer factors of 77182 that divides 77164 without a remainder.

1, 2, 7, 14, 37, 74, 149, 259, 298, 518, 1043, 2086, 5513, 11026, 38591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77164 and 77182. The biggest common factor number is the GCF number.
So the greatest common factor 77164 and 77182 is 2.

Also check out the Least Common Multiple of 77164 and 77182