What is the Greatest Common Factor of 21560 and 21567?

Greatest common factor (GCF) of 21560 and 21567 is 7.

GCF(21560,21567) = 7

We will now calculate the prime factors of 21560 and 21567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21560 and 21567.

How to find the GCF of 21560 and 21567?

We will first find the prime factorization of 21560 and 21567. After we will calculate the factors of 21560 and 21567 and find the biggest common factor number .

Step-1: Prime Factorization of 21560

Prime factors of 21560 are 2, 5, 7, 11. Prime factorization of 21560 in exponential form is:

21560 = 2³ × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 21567

Prime factors of 21567 are 3, 7, 13, 79. Prime factorization of 21567 in exponential form is:

21567 = 3¹ × 7¹ × 13¹ × 79¹

Step-3: Factors of 21560

List of positive integer factors of 21560 that divides 21560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 49, 55, 56, 70, 77, 88, 98, 110, 140, 154, 196, 220, 245, 280, 308, 385, 392, 440, 490, 539, 616, 770, 980, 1078, 1540, 1960, 2156, 2695, 3080, 4312, 5390, 10780

Step-4: Factors of 21567

List of positive integer factors of 21567 that divides 21560 without a remainder.

1, 3, 7, 13, 21, 39, 79, 91, 237, 273, 553, 1027, 1659, 3081, 7189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21560 and 21567. The biggest common factor number is the GCF number.
So the greatest common factor 21560 and 21567 is 7.

Also check out the Least Common Multiple of 21560 and 21567