What is the Greatest Common Factor of 21562 and 21572?

Greatest common factor (GCF) of 21562 and 21572 is 2.

GCF(21562,21572) = 2

We will now calculate the prime factors of 21562 and 21572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21562 and 21572.

How to find the GCF of 21562 and 21572?

We will first find the prime factorization of 21562 and 21572. After we will calculate the factors of 21562 and 21572 and find the biggest common factor number .

Step-1: Prime Factorization of 21562

Prime factors of 21562 are 2, 10781. Prime factorization of 21562 in exponential form is:

21562 = 2¹ × 10781¹

Step-2: Prime Factorization of 21572

Prime factors of 21572 are 2, 5393. Prime factorization of 21572 in exponential form is:

21572 = 2² × 5393¹

Step-3: Factors of 21562

List of positive integer factors of 21562 that divides 21562 without a remainder.

1, 2, 10781

Step-4: Factors of 21572

List of positive integer factors of 21572 that divides 21562 without a remainder.

1, 2, 4, 5393, 10786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21562 and 21572. The biggest common factor number is the GCF number.
So the greatest common factor 21562 and 21572 is 2.

Also check out the Least Common Multiple of 21562 and 21572