What is the Greatest Common Factor of 21659 and 21670?

Greatest common factor (GCF) of 21659 and 21670 is 11.

GCF(21659,21670) = 11

We will now calculate the prime factors of 21659 and 21670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21659 and 21670.

How to find the GCF of 21659 and 21670?

We will first find the prime factorization of 21659 and 21670. After we will calculate the factors of 21659 and 21670 and find the biggest common factor number .

Step-1: Prime Factorization of 21659

Prime factors of 21659 are 11, 179. Prime factorization of 21659 in exponential form is:

21659 = 11² × 179¹

Step-2: Prime Factorization of 21670

Prime factors of 21670 are 2, 5, 11, 197. Prime factorization of 21670 in exponential form is:

21670 = 2¹ × 5¹ × 11¹ × 197¹

Step-3: Factors of 21659

List of positive integer factors of 21659 that divides 21659 without a remainder.

1, 11, 121, 179, 1969

Step-4: Factors of 21670

List of positive integer factors of 21670 that divides 21659 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 197, 394, 985, 1970, 2167, 4334, 10835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21659 and 21670. The biggest common factor number is the GCF number.
So the greatest common factor 21659 and 21670 is 11.

Also check out the Least Common Multiple of 21659 and 21670