What is the Greatest Common Factor of 21360 and 21379?

Greatest common factor (GCF) of 21360 and 21379 is 1.

GCF(21360,21379) = 1

We will now calculate the prime factors of 21360 and 21379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21360 and 21379.

How to find the GCF of 21360 and 21379?

We will first find the prime factorization of 21360 and 21379. After we will calculate the factors of 21360 and 21379 and find the biggest common factor number .

Step-1: Prime Factorization of 21360

Prime factors of 21360 are 2, 3, 5, 89. Prime factorization of 21360 in exponential form is:

21360 = 2⁴ × 3¹ × 5¹ × 89¹

Step-2: Prime Factorization of 21379

Prime factors of 21379 are 21379. Prime factorization of 21379 in exponential form is:

21379 = 21379¹

Step-3: Factors of 21360

List of positive integer factors of 21360 that divides 21360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 89, 120, 178, 240, 267, 356, 445, 534, 712, 890, 1068, 1335, 1424, 1780, 2136, 2670, 3560, 4272, 5340, 7120, 10680

Step-4: Factors of 21379

List of positive integer factors of 21379 that divides 21360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21360 and 21379. The biggest common factor number is the GCF number.
So the greatest common factor 21360 and 21379 is 1.

Also check out the Least Common Multiple of 21360 and 21379