What is the Greatest Common Factor of 21489 and 21506?

Greatest common factor (GCF) of 21489 and 21506 is 1.

GCF(21489,21506) = 1

We will now calculate the prime factors of 21489 and 21506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21489 and 21506.

How to find the GCF of 21489 and 21506?

We will first find the prime factorization of 21489 and 21506. After we will calculate the factors of 21489 and 21506 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 21506

Prime factors of 21506 are 2, 10753. Prime factorization of 21506 in exponential form is:

21506 = 2¹ × 10753¹

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 21506

List of positive integer factors of 21506 that divides 21489 without a remainder.

1, 2, 10753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21489 and 21506. The biggest common factor number is the GCF number.
So the greatest common factor 21489 and 21506 is 1.

Also check out the Least Common Multiple of 21489 and 21506