What is the Greatest Common Factor of 48628 and 48638?

Greatest common factor (GCF) of 48628 and 48638 is 2.

GCF(48628,48638) = 2

We will now calculate the prime factors of 48628 and 48638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48628 and 48638.

How to find the GCF of 48628 and 48638?

We will first find the prime factorization of 48628 and 48638. After we will calculate the factors of 48628 and 48638 and find the biggest common factor number .

Step-1: Prime Factorization of 48628

Prime factors of 48628 are 2, 12157. Prime factorization of 48628 in exponential form is:

48628 = 2² × 12157¹

Step-2: Prime Factorization of 48638

Prime factors of 48638 are 2, 83, 293. Prime factorization of 48638 in exponential form is:

48638 = 2¹ × 83¹ × 293¹

Step-3: Factors of 48628

List of positive integer factors of 48628 that divides 48628 without a remainder.

1, 2, 4, 12157, 24314

Step-4: Factors of 48638

List of positive integer factors of 48638 that divides 48628 without a remainder.

1, 2, 83, 166, 293, 586, 24319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48628 and 48638. The biggest common factor number is the GCF number.
So the greatest common factor 48628 and 48638 is 2.

Also check out the Least Common Multiple of 48628 and 48638