What is the Greatest Common Factor of 61164 and 61183?

Greatest common factor (GCF) of 61164 and 61183 is 1.

GCF(61164,61183) = 1

We will now calculate the prime factors of 61164 and 61183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61164 and 61183.

How to find the GCF of 61164 and 61183?

We will first find the prime factorization of 61164 and 61183. After we will calculate the factors of 61164 and 61183 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 61183

Prime factors of 61183 are 17, 59, 61. Prime factorization of 61183 in exponential form is:

61183 = 17¹ × 59¹ × 61¹

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 61183

List of positive integer factors of 61183 that divides 61164 without a remainder.

1, 17, 59, 61, 1003, 1037, 3599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61164 and 61183. The biggest common factor number is the GCF number.
So the greatest common factor 61164 and 61183 is 1.

Also check out the Least Common Multiple of 61164 and 61183