What is the Greatest Common Factor of 61146 and 61159?

Greatest common factor (GCF) of 61146 and 61159 is 1.

GCF(61146,61159) = 1

We will now calculate the prime factors of 61146 and 61159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61146 and 61159.

How to find the GCF of 61146 and 61159?

We will first find the prime factorization of 61146 and 61159. After we will calculate the factors of 61146 and 61159 and find the biggest common factor number .

Step-1: Prime Factorization of 61146

Prime factors of 61146 are 2, 3, 43, 79. Prime factorization of 61146 in exponential form is:

61146 = 2¹ × 3² × 43¹ × 79¹

Step-2: Prime Factorization of 61159

Prime factors of 61159 are 7, 8737. Prime factorization of 61159 in exponential form is:

61159 = 7¹ × 8737¹

Step-3: Factors of 61146

List of positive integer factors of 61146 that divides 61146 without a remainder.

1, 2, 3, 6, 9, 18, 43, 79, 86, 129, 158, 237, 258, 387, 474, 711, 774, 1422, 3397, 6794, 10191, 20382, 30573

Step-4: Factors of 61159

List of positive integer factors of 61159 that divides 61146 without a remainder.

1, 7, 8737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61146 and 61159. The biggest common factor number is the GCF number.
So the greatest common factor 61146 and 61159 is 1.

Also check out the Least Common Multiple of 61146 and 61159