What is the Greatest Common Factor of 61140 and 61158?

Greatest common factor (GCF) of 61140 and 61158 is 6.

GCF(61140,61158) = 6

We will now calculate the prime factors of 61140 and 61158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61140 and 61158.

How to find the GCF of 61140 and 61158?

We will first find the prime factorization of 61140 and 61158. After we will calculate the factors of 61140 and 61158 and find the biggest common factor number .

Step-1: Prime Factorization of 61140

Prime factors of 61140 are 2, 3, 5, 1019. Prime factorization of 61140 in exponential form is:

61140 = 2² × 3¹ × 5¹ × 1019¹

Step-2: Prime Factorization of 61158

Prime factors of 61158 are 2, 3, 10193. Prime factorization of 61158 in exponential form is:

61158 = 2¹ × 3¹ × 10193¹

Step-3: Factors of 61140

List of positive integer factors of 61140 that divides 61140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1019, 2038, 3057, 4076, 5095, 6114, 10190, 12228, 15285, 20380, 30570

Step-4: Factors of 61158

List of positive integer factors of 61158 that divides 61140 without a remainder.

1, 2, 3, 6, 10193, 20386, 30579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61140 and 61158. The biggest common factor number is the GCF number.
So the greatest common factor 61140 and 61158 is 6.

Also check out the Least Common Multiple of 61140 and 61158