What is the Greatest Common Factor of 61100 and 61113?

Greatest common factor (GCF) of 61100 and 61113 is 13.

GCF(61100,61113) = 13

We will now calculate the prime factors of 61100 and 61113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61100 and 61113.

How to find the GCF of 61100 and 61113?

We will first find the prime factorization of 61100 and 61113. After we will calculate the factors of 61100 and 61113 and find the biggest common factor number .

Step-1: Prime Factorization of 61100

Prime factors of 61100 are 2, 5, 13, 47. Prime factorization of 61100 in exponential form is:

61100 = 2² × 5² × 13¹ × 47¹

Step-2: Prime Factorization of 61113

Prime factors of 61113 are 3, 13, 1567. Prime factorization of 61113 in exponential form is:

61113 = 3¹ × 13¹ × 1567¹

Step-3: Factors of 61100

List of positive integer factors of 61100 that divides 61100 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 47, 50, 52, 65, 94, 100, 130, 188, 235, 260, 325, 470, 611, 650, 940, 1175, 1222, 1300, 2350, 2444, 3055, 4700, 6110, 12220, 15275, 30550

Step-4: Factors of 61113

List of positive integer factors of 61113 that divides 61100 without a remainder.

1, 3, 13, 39, 1567, 4701, 20371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61100 and 61113. The biggest common factor number is the GCF number.
So the greatest common factor 61100 and 61113 is 13.

Also check out the Least Common Multiple of 61100 and 61113