What is the Greatest Common Factor of 61110 and 61128?

Greatest common factor (GCF) of 61110 and 61128 is 18.

GCF(61110,61128) = 18

We will now calculate the prime factors of 61110 and 61128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61110 and 61128.

How to find the GCF of 61110 and 61128?

We will first find the prime factorization of 61110 and 61128. After we will calculate the factors of 61110 and 61128 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61128

Prime factors of 61128 are 2, 3, 283. Prime factorization of 61128 in exponential form is:

61128 = 2³ × 3³ × 283¹

Step-3: Factors of 61110

List of positive integer factors of 61110 that divides 61110 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

Step-4: Factors of 61128

List of positive integer factors of 61128 that divides 61110 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 5094, 6792, 7641, 10188, 15282, 20376, 30564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61110 and 61128. The biggest common factor number is the GCF number.
So the greatest common factor 61110 and 61128 is 18.

Also check out the Least Common Multiple of 61110 and 61128