What is the Greatest Common Factor of 21360 and 21376?

Greatest common factor (GCF) of 21360 and 21376 is 16.

GCF(21360,21376) = 16

We will now calculate the prime factors of 21360 and 21376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21360 and 21376.

How to find the GCF of 21360 and 21376?

We will first find the prime factorization of 21360 and 21376. After we will calculate the factors of 21360 and 21376 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 21376

Prime factors of 21376 are 2, 167. Prime factorization of 21376 in exponential form is:

21376 = 2⁷ × 167¹

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 21376

List of positive integer factors of 21376 that divides 21360 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 334, 668, 1336, 2672, 5344, 10688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21360 and 21376. The biggest common factor number is the GCF number.
So the greatest common factor 21360 and 21376 is 16.

Also check out the Least Common Multiple of 21360 and 21376