What is the Greatest Common Factor of 61100 and 61110?

Greatest common factor (GCF) of 61100 and 61110 is 10.

GCF(61100,61110) = 10

We will now calculate the prime factors of 61100 and 61110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61100 and 61110.

How to find the GCF of 61100 and 61110?

We will first find the prime factorization of 61100 and 61110. After we will calculate the factors of 61100 and 61110 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 61110

Prime factors of 61110 are 2, 3, 5, 7, 97. Prime factorization of 61110 in exponential form is:

61110 = 2¹ × 3² × 5¹ × 7¹ × 97¹

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 61110

List of positive integer factors of 61110 that divides 61100 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 97, 105, 126, 194, 210, 291, 315, 485, 582, 630, 679, 873, 970, 1358, 1455, 1746, 2037, 2910, 3395, 4074, 4365, 6111, 6790, 8730, 10185, 12222, 20370, 30555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61100 and 61110. The biggest common factor number is the GCF number.
So the greatest common factor 61100 and 61110 is 10.

Also check out the Least Common Multiple of 61100 and 61110