What is the Greatest Common Factor of 21489 and 21502?

Greatest common factor (GCF) of 21489 and 21502 is 13.

GCF(21489,21502) = 13

We will now calculate the prime factors of 21489 and 21502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21489 and 21502.

How to find the GCF of 21489 and 21502?

We will first find the prime factorization of 21489 and 21502. After we will calculate the factors of 21489 and 21502 and find the biggest common factor number .

Step-1: Prime Factorization of 21489

Prime factors of 21489 are 3, 13, 19, 29. Prime factorization of 21489 in exponential form is:

21489 = 3¹ × 13¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 21489

List of positive integer factors of 21489 that divides 21489 without a remainder.

1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163

Step-4: Factors of 21502

List of positive integer factors of 21502 that divides 21489 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21489 and 21502. The biggest common factor number is the GCF number.
So the greatest common factor 21489 and 21502 is 13.

Also check out the Least Common Multiple of 21489 and 21502