What is the Greatest Common Factor of 61164 and 61169?

Greatest common factor (GCF) of 61164 and 61169 is 1.

GCF(61164,61169) = 1

We will now calculate the prime factors of 61164 and 61169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61164 and 61169.

How to find the GCF of 61164 and 61169?

We will first find the prime factorization of 61164 and 61169. After we will calculate the factors of 61164 and 61169 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 61169

Prime factors of 61169 are 61169. Prime factorization of 61169 in exponential form is:

61169 = 61169¹

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 61169

List of positive integer factors of 61169 that divides 61164 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61164 and 61169. The biggest common factor number is the GCF number.
So the greatest common factor 61164 and 61169 is 1.

Also check out the Least Common Multiple of 61164 and 61169