What is the Greatest Common Factor of 48731 and 48737?

Greatest common factor (GCF) of 48731 and 48737 is 1.

GCF(48731,48737) = 1

We will now calculate the prime factors of 48731 and 48737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48731 and 48737.

How to find the GCF of 48731 and 48737?

We will first find the prime factorization of 48731 and 48737. After we will calculate the factors of 48731 and 48737 and find the biggest common factor number .

Step-1: Prime Factorization of 48731

Prime factors of 48731 are 48731. Prime factorization of 48731 in exponential form is:

48731 = 48731¹

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 48731

List of positive integer factors of 48731 that divides 48731 without a remainder.

Step-4: Factors of 48737

List of positive integer factors of 48737 that divides 48731 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48731 and 48737. The biggest common factor number is the GCF number.
So the greatest common factor 48731 and 48737 is 1.

Also check out the Least Common Multiple of 48731 and 48737