What is the Greatest Common Factor of 77148 and 77164?

Greatest common factor (GCF) of 77148 and 77164 is 4.

GCF(77148,77164) = 4

We will now calculate the prime factors of 77148 and 77164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77148 and 77164.

How to find the GCF of 77148 and 77164?

We will first find the prime factorization of 77148 and 77164. After we will calculate the factors of 77148 and 77164 and find the biggest common factor number .

Step-1: Prime Factorization of 77148

Prime factors of 77148 are 2, 3, 2143. Prime factorization of 77148 in exponential form is:

77148 = 2² × 3² × 2143¹

Step-2: 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-3: Factors of 77148

List of positive integer factors of 77148 that divides 77148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2143, 4286, 6429, 8572, 12858, 19287, 25716, 38574

Step-4: Factors of 77164

List of positive integer factors of 77164 that divides 77148 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77148 and 77164. The biggest common factor number is the GCF number.
So the greatest common factor 77148 and 77164 is 4.

Also check out the Least Common Multiple of 77148 and 77164