What is the Greatest Common Factor of 21120 and 21125?

Greatest common factor (GCF) of 21120 and 21125 is 5.

GCF(21120,21125) = 5

We will now calculate the prime factors of 21120 and 21125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21120 and 21125.

How to find the GCF of 21120 and 21125?

We will first find the prime factorization of 21120 and 21125. After we will calculate the factors of 21120 and 21125 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 21125

Prime factors of 21125 are 5, 13. Prime factorization of 21125 in exponential form is:

21125 = 5³ × 13²

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 21125

List of positive integer factors of 21125 that divides 21120 without a remainder.

1, 5, 13, 25, 65, 125, 169, 325, 845, 1625, 4225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21120 and 21125. The biggest common factor number is the GCF number.
So the greatest common factor 21120 and 21125 is 5.

Also check out the Least Common Multiple of 21120 and 21125