What is the Greatest Common Factor of 61128 and 61146?

Greatest common factor (GCF) of 61128 and 61146 is 18.

GCF(61128,61146) = 18

We will now calculate the prime factors of 61128 and 61146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61128 and 61146.

How to find the GCF of 61128 and 61146?

We will first find the prime factorization of 61128 and 61146. After we will calculate the factors of 61128 and 61146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61146

Prime factors of 61146 are 2, 3, 43, 79. Prime factorization of 61146 in exponential form is:

61146 = 2¹ × 3² × 43¹ × 79¹

Step-3: Factors of 61128

List of positive integer factors of 61128 that divides 61128 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

Step-4: Factors of 61146

List of positive integer factors of 61146 that divides 61128 without a remainder.

1, 2, 3, 6, 9, 18, 43, 79, 86, 129, 158, 237, 258, 387, 474, 711, 774, 1422, 3397, 6794, 10191, 20382, 30573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61128 and 61146. The biggest common factor number is the GCF number.
So the greatest common factor 61128 and 61146 is 18.

Also check out the Least Common Multiple of 61128 and 61146