What is the Greatest Common Factor of 61120 and 61140?

Greatest common factor (GCF) of 61120 and 61140 is 20.

GCF(61120,61140) = 20

We will now calculate the prime factors of 61120 and 61140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61120 and 61140.

How to find the GCF of 61120 and 61140?

We will first find the prime factorization of 61120 and 61140. After we will calculate the factors of 61120 and 61140 and find the biggest common factor number .

Step-1: Prime Factorization of 61120

Prime factors of 61120 are 2, 5, 191. Prime factorization of 61120 in exponential form is:

61120 = 2⁶ × 5¹ × 191¹

Step-2: 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-3: Factors of 61120

List of positive integer factors of 61120 that divides 61120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 191, 320, 382, 764, 955, 1528, 1910, 3056, 3820, 6112, 7640, 12224, 15280, 30560

Step-4: Factors of 61140

List of positive integer factors of 61140 that divides 61120 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61120 and 61140. The biggest common factor number is the GCF number.
So the greatest common factor 61120 and 61140 is 20.

Also check out the Least Common Multiple of 61120 and 61140