What is the Greatest Common Factor of 48724 and 48737?

Greatest common factor (GCF) of 48724 and 48737 is 13.

GCF(48724,48737) = 13

We will now calculate the prime factors of 48724 and 48737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48724 and 48737.

How to find the GCF of 48724 and 48737?

We will first find the prime factorization of 48724 and 48737. After we will calculate the factors of 48724 and 48737 and find the biggest common factor number .

Step-1: Prime Factorization of 48724

Prime factors of 48724 are 2, 13, 937. Prime factorization of 48724 in exponential form is:

48724 = 2² × 13¹ × 937¹

Step-2: Prime Factorization of 48737

Prime factors of 48737 are 13, 23, 163. Prime factorization of 48737 in exponential form is:

48737 = 13¹ × 23¹ × 163¹

Step-3: Factors of 48724

List of positive integer factors of 48724 that divides 48724 without a remainder.

1, 2, 4, 13, 26, 52, 937, 1874, 3748, 12181, 24362

Step-4: Factors of 48737

List of positive integer factors of 48737 that divides 48724 without a remainder.

1, 13, 23, 163, 299, 2119, 3749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48724 and 48737. The biggest common factor number is the GCF number.
So the greatest common factor 48724 and 48737 is 13.

Also check out the Least Common Multiple of 48724 and 48737