What is the Greatest Common Factor of 61124 and 61128?

Greatest common factor (GCF) of 61124 and 61128 is 4.

GCF(61124,61128) = 4

We will now calculate the prime factors of 61124 and 61128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61124 and 61128.

How to find the GCF of 61124 and 61128?

We will first find the prime factorization of 61124 and 61128. After we will calculate the factors of 61124 and 61128 and find the biggest common factor number .

Step-1: Prime Factorization of 61124

Prime factors of 61124 are 2, 7, 37, 59. Prime factorization of 61124 in exponential form is:

61124 = 2² × 7¹ × 37¹ × 59¹

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 61124

List of positive integer factors of 61124 that divides 61124 without a remainder.

1, 2, 4, 7, 14, 28, 37, 59, 74, 118, 148, 236, 259, 413, 518, 826, 1036, 1652, 2183, 4366, 8732, 15281, 30562

Step-4: Factors of 61128

List of positive integer factors of 61128 that divides 61124 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 61124 and 61128. The biggest common factor number is the GCF number.
So the greatest common factor 61124 and 61128 is 4.

Also check out the Least Common Multiple of 61124 and 61128