What is the Greatest Common Factor of 48642 and 48653?

Greatest common factor (GCF) of 48642 and 48653 is 11.

GCF(48642,48653) = 11

We will now calculate the prime factors of 48642 and 48653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48642 and 48653.

How to find the GCF of 48642 and 48653?

We will first find the prime factorization of 48642 and 48653. After we will calculate the factors of 48642 and 48653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48653

Prime factors of 48653 are 11, 4423. Prime factorization of 48653 in exponential form is:

48653 = 11¹ × 4423¹

Step-3: Factors of 48642

List of positive integer factors of 48642 that divides 48642 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

Step-4: Factors of 48653

List of positive integer factors of 48653 that divides 48642 without a remainder.

1, 11, 4423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48642 and 48653. The biggest common factor number is the GCF number.
So the greatest common factor 48642 and 48653 is 11.

Also check out the Least Common Multiple of 48642 and 48653