What is the Greatest Common Factor of 21120 and 21139?

Greatest common factor (GCF) of 21120 and 21139 is 1.

GCF(21120,21139) = 1

We will now calculate the prime factors of 21120 and 21139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21120 and 21139.

How to find the GCF of 21120 and 21139?

We will first find the prime factorization of 21120 and 21139. After we will calculate the factors of 21120 and 21139 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 21139

Prime factors of 21139 are 21139. Prime factorization of 21139 in exponential form is:

21139 = 21139¹

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 21139

List of positive integer factors of 21139 that divides 21120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21120 and 21139. The biggest common factor number is the GCF number.
So the greatest common factor 21120 and 21139 is 1.

Also check out the Least Common Multiple of 21120 and 21139