What is the Greatest Common Factor of 52648 and 52653?

Greatest common factor (GCF) of 52648 and 52653 is 1.

GCF(52648,52653) = 1

We will now calculate the prime factors of 52648 and 52653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52648 and 52653.

How to find the GCF of 52648 and 52653?

We will first find the prime factorization of 52648 and 52653. After we will calculate the factors of 52648 and 52653 and find the biggest common factor number .

Step-1: Prime Factorization of 52648

Prime factors of 52648 are 2, 6581. Prime factorization of 52648 in exponential form is:

52648 = 2³ × 6581¹

Step-2: Prime Factorization of 52653

Prime factors of 52653 are 3, 17551. Prime factorization of 52653 in exponential form is:

52653 = 3¹ × 17551¹

Step-3: Factors of 52648

List of positive integer factors of 52648 that divides 52648 without a remainder.

1, 2, 4, 8, 6581, 13162, 26324

Step-4: Factors of 52653

List of positive integer factors of 52653 that divides 52648 without a remainder.

1, 3, 17551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52648 and 52653. The biggest common factor number is the GCF number.
So the greatest common factor 52648 and 52653 is 1.

Also check out the Least Common Multiple of 52648 and 52653