What is the Greatest Common Factor of 48712 and 48730?

Greatest common factor (GCF) of 48712 and 48730 is 2.

GCF(48712,48730) = 2

We will now calculate the prime factors of 48712 and 48730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48712 and 48730.

How to find the GCF of 48712 and 48730?

We will first find the prime factorization of 48712 and 48730. After we will calculate the factors of 48712 and 48730 and find the biggest common factor number .

Step-1: Prime Factorization of 48712

Prime factors of 48712 are 2, 6089. Prime factorization of 48712 in exponential form is:

48712 = 2³ × 6089¹

Step-2: Prime Factorization of 48730

Prime factors of 48730 are 2, 5, 11, 443. Prime factorization of 48730 in exponential form is:

48730 = 2¹ × 5¹ × 11¹ × 443¹

Step-3: Factors of 48712

List of positive integer factors of 48712 that divides 48712 without a remainder.

1, 2, 4, 8, 6089, 12178, 24356

Step-4: Factors of 48730

List of positive integer factors of 48730 that divides 48712 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 443, 886, 2215, 4430, 4873, 9746, 24365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48712 and 48730. The biggest common factor number is the GCF number.
So the greatest common factor 48712 and 48730 is 2.

Also check out the Least Common Multiple of 48712 and 48730