What is the Greatest Common Factor of 61124 and 61138?

Greatest common factor (GCF) of 61124 and 61138 is 14.

GCF(61124,61138) = 14

We will now calculate the prime factors of 61124 and 61138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61124 and 61138.

How to find the GCF of 61124 and 61138?

We will first find the prime factorization of 61124 and 61138. After we will calculate the factors of 61124 and 61138 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 61138

Prime factors of 61138 are 2, 7, 11, 397. Prime factorization of 61138 in exponential form is:

61138 = 2¹ × 7¹ × 11¹ × 397¹

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 61138

List of positive integer factors of 61138 that divides 61124 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 397, 794, 2779, 4367, 5558, 8734, 30569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61124 and 61138. The biggest common factor number is the GCF number.
So the greatest common factor 61124 and 61138 is 14.

Also check out the Least Common Multiple of 61124 and 61138