What is the Greatest Common Factor of 61140 and 61160?

Greatest common factor (GCF) of 61140 and 61160 is 20.

GCF(61140,61160) = 20

We will now calculate the prime factors of 61140 and 61160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61140 and 61160.

How to find the GCF of 61140 and 61160?

We will first find the prime factorization of 61140 and 61160. After we will calculate the factors of 61140 and 61160 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 61160

Prime factors of 61160 are 2, 5, 11, 139. Prime factorization of 61160 in exponential form is:

61160 = 2³ × 5¹ × 11¹ × 139¹

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 61160

List of positive integer factors of 61160 that divides 61140 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 139, 220, 278, 440, 556, 695, 1112, 1390, 1529, 2780, 3058, 5560, 6116, 7645, 12232, 15290, 30580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61140 and 61160. The biggest common factor number is the GCF number.
So the greatest common factor 61140 and 61160 is 20.

Also check out the Least Common Multiple of 61140 and 61160