What is the Greatest Common Factor of 25653 and 25670?

Greatest common factor (GCF) of 25653 and 25670 is 17.

GCF(25653,25670) = 17

We will now calculate the prime factors of 25653 and 25670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25653 and 25670.

How to find the GCF of 25653 and 25670?

We will first find the prime factorization of 25653 and 25670. After we will calculate the factors of 25653 and 25670 and find the biggest common factor number .

Step-1: Prime Factorization of 25653

Prime factors of 25653 are 3, 17, 503. Prime factorization of 25653 in exponential form is:

25653 = 3¹ × 17¹ × 503¹

Step-2: Prime Factorization of 25670

Prime factors of 25670 are 2, 5, 17, 151. Prime factorization of 25670 in exponential form is:

25670 = 2¹ × 5¹ × 17¹ × 151¹

Step-3: Factors of 25653

List of positive integer factors of 25653 that divides 25653 without a remainder.

1, 3, 17, 51, 503, 1509, 8551

Step-4: Factors of 25670

List of positive integer factors of 25670 that divides 25653 without a remainder.

1, 2, 5, 10, 17, 34, 85, 151, 170, 302, 755, 1510, 2567, 5134, 12835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25653 and 25670. The biggest common factor number is the GCF number.
So the greatest common factor 25653 and 25670 is 17.

Also check out the Least Common Multiple of 25653 and 25670