What is the Greatest Common Factor of 21502 and 21508?

Greatest common factor (GCF) of 21502 and 21508 is 2.

GCF(21502,21508) = 2

We will now calculate the prime factors of 21502 and 21508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21502 and 21508.

How to find the GCF of 21502 and 21508?

We will first find the prime factorization of 21502 and 21508. After we will calculate the factors of 21502 and 21508 and find the biggest common factor number .

Step-1: Prime Factorization of 21502

Prime factors of 21502 are 2, 13, 827. Prime factorization of 21502 in exponential form is:

21502 = 2¹ × 13¹ × 827¹

Step-2: Prime Factorization of 21508

Prime factors of 21508 are 2, 19, 283. Prime factorization of 21508 in exponential form is:

21508 = 2² × 19¹ × 283¹

Step-3: Factors of 21502

List of positive integer factors of 21502 that divides 21502 without a remainder.

1, 2, 13, 26, 827, 1654, 10751

Step-4: Factors of 21508

List of positive integer factors of 21508 that divides 21502 without a remainder.

1, 2, 4, 19, 38, 76, 283, 566, 1132, 5377, 10754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21502 and 21508. The biggest common factor number is the GCF number.
So the greatest common factor 21502 and 21508 is 2.

Also check out the Least Common Multiple of 21502 and 21508