What is the Greatest Common Factor of 10653 and 10657?

Greatest common factor (GCF) of 10653 and 10657 is 1.

GCF(10653,10657) = 1

We will now calculate the prime factors of 10653 and 10657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10653 and 10657.

How to find the GCF of 10653 and 10657?

We will first find the prime factorization of 10653 and 10657. After we will calculate the factors of 10653 and 10657 and find the biggest common factor number .

Step-1: Prime Factorization of 10653

Prime factors of 10653 are 3, 53, 67. Prime factorization of 10653 in exponential form is:

10653 = 3¹ × 53¹ × 67¹

Step-2: Prime Factorization of 10657

Prime factors of 10657 are 10657. Prime factorization of 10657 in exponential form is:

10657 = 10657¹

Step-3: Factors of 10653

List of positive integer factors of 10653 that divides 10653 without a remainder.

1, 3, 53, 67, 159, 201, 3551

Step-4: Factors of 10657

List of positive integer factors of 10657 that divides 10653 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10653 and 10657. The biggest common factor number is the GCF number.
So the greatest common factor 10653 and 10657 is 1.

Also check out the Least Common Multiple of 10653 and 10657