What is the Greatest Common Factor of 61087 and 61100?

Greatest common factor (GCF) of 61087 and 61100 is 13.

GCF(61087,61100) = 13

We will now calculate the prime factors of 61087 and 61100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61087 and 61100.

How to find the GCF of 61087 and 61100?

We will first find the prime factorization of 61087 and 61100. After we will calculate the factors of 61087 and 61100 and find the biggest common factor number .

Step-1: Prime Factorization of 61087

Prime factors of 61087 are 13, 37, 127. Prime factorization of 61087 in exponential form is:

61087 = 13¹ × 37¹ × 127¹

Step-2: 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-3: Factors of 61087

List of positive integer factors of 61087 that divides 61087 without a remainder.

1, 13, 37, 127, 481, 1651, 4699

Step-4: Factors of 61100

List of positive integer factors of 61100 that divides 61087 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61087 and 61100. The biggest common factor number is the GCF number.
So the greatest common factor 61087 and 61100 is 13.

Also check out the Least Common Multiple of 61087 and 61100