What is the Greatest Common Factor of 61164 and 61179?

Greatest common factor (GCF) of 61164 and 61179 is 3.

GCF(61164,61179) = 3

We will now calculate the prime factors of 61164 and 61179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61164 and 61179.

How to find the GCF of 61164 and 61179?

We will first find the prime factorization of 61164 and 61179. After we will calculate the factors of 61164 and 61179 and find the biggest common factor number .

Step-1: Prime Factorization of 61164

Prime factors of 61164 are 2, 3, 1699. Prime factorization of 61164 in exponential form is:

61164 = 2² × 3² × 1699¹

Step-2: Prime Factorization of 61179

Prime factors of 61179 are 3, 20393. Prime factorization of 61179 in exponential form is:

61179 = 3¹ × 20393¹

Step-3: Factors of 61164

List of positive integer factors of 61164 that divides 61164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1699, 3398, 5097, 6796, 10194, 15291, 20388, 30582

Step-4: Factors of 61179

List of positive integer factors of 61179 that divides 61164 without a remainder.

1, 3, 20393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61164 and 61179. The biggest common factor number is the GCF number.
So the greatest common factor 61164 and 61179 is 3.

Also check out the Least Common Multiple of 61164 and 61179