What is the Greatest Common Factor of 5124 and 5137?

Greatest common factor (GCF) of 5124 and 5137 is 1.

GCF(5124,5137) = 1

We will now calculate the prime factors of 5124 and 5137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5124 and 5137.

How to find the GCF of 5124 and 5137?

We will first find the prime factorization of 5124 and 5137. After we will calculate the factors of 5124 and 5137 and find the biggest common factor number .

Step-1: Prime Factorization of 5124

Prime factors of 5124 are 2, 3, 7, 61. Prime factorization of 5124 in exponential form is:

5124 = 2² × 3¹ × 7¹ × 61¹

Step-2: Prime Factorization of 5137

Prime factors of 5137 are 11, 467. Prime factorization of 5137 in exponential form is:

5137 = 11¹ × 467¹

Step-3: Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562

Step-4: Factors of 5137

List of positive integer factors of 5137 that divides 5124 without a remainder.

1, 11, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5124 and 5137. The biggest common factor number is the GCF number.
So the greatest common factor 5124 and 5137 is 1.

Also check out the Least Common Multiple of 5124 and 5137