What is the Greatest Common Factor of 48631 and 48642?

Greatest common factor (GCF) of 48631 and 48642 is 11.

GCF(48631,48642) = 11

We will now calculate the prime factors of 48631 and 48642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48631 and 48642.

How to find the GCF of 48631 and 48642?

We will first find the prime factorization of 48631 and 48642. After we will calculate the factors of 48631 and 48642 and find the biggest common factor number .

Step-1: Prime Factorization of 48631

Prime factors of 48631 are 11, 4421. Prime factorization of 48631 in exponential form is:

48631 = 11¹ × 4421¹

Step-2: Prime Factorization of 48642

Prime factors of 48642 are 2, 3, 11, 67. Prime factorization of 48642 in exponential form is:

48642 = 2¹ × 3¹ × 11² × 67¹

Step-3: Factors of 48631

List of positive integer factors of 48631 that divides 48631 without a remainder.

1, 11, 4421

Step-4: Factors of 48642

List of positive integer factors of 48642 that divides 48631 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 67, 121, 134, 201, 242, 363, 402, 726, 737, 1474, 2211, 4422, 8107, 16214, 24321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48631 and 48642. The biggest common factor number is the GCF number.
So the greatest common factor 48631 and 48642 is 11.

Also check out the Least Common Multiple of 48631 and 48642