What is the Greatest Common Factor of 21120 and 21135?

Greatest common factor (GCF) of 21120 and 21135 is 15.

GCF(21120,21135) = 15

We will now calculate the prime factors of 21120 and 21135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21120 and 21135.

How to find the GCF of 21120 and 21135?

We will first find the prime factorization of 21120 and 21135. After we will calculate the factors of 21120 and 21135 and find the biggest common factor number .

Step-1: Prime Factorization of 21120

Prime factors of 21120 are 2, 3, 5, 11. Prime factorization of 21120 in exponential form is:

21120 = 2⁷ × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 21135

Prime factors of 21135 are 3, 5, 1409. Prime factorization of 21135 in exponential form is:

21135 = 3¹ × 5¹ × 1409¹

Step-3: Factors of 21120

List of positive integer factors of 21120 that divides 21120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 264, 320, 330, 352, 384, 440, 480, 528, 640, 660, 704, 880, 960, 1056, 1320, 1408, 1760, 1920, 2112, 2640, 3520, 4224, 5280, 7040, 10560

Step-4: Factors of 21135

List of positive integer factors of 21135 that divides 21120 without a remainder.

1, 3, 5, 15, 1409, 4227, 7045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21120 and 21135. The biggest common factor number is the GCF number.
So the greatest common factor 21120 and 21135 is 15.

Also check out the Least Common Multiple of 21120 and 21135