What is the Greatest Common Factor of 20562 and 20580?

Greatest common factor (GCF) of 20562 and 20580 is 6.

GCF(20562,20580) = 6

We will now calculate the prime factors of 20562 and 20580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20562 and 20580.

How to find the GCF of 20562 and 20580?

We will first find the prime factorization of 20562 and 20580. After we will calculate the factors of 20562 and 20580 and find the biggest common factor number .

Step-1: Prime Factorization of 20562

Prime factors of 20562 are 2, 3, 23, 149. Prime factorization of 20562 in exponential form is:

20562 = 2¹ × 3¹ × 23¹ × 149¹

Step-2: Prime Factorization of 20580

Prime factors of 20580 are 2, 3, 5, 7. Prime factorization of 20580 in exponential form is:

20580 = 2² × 3¹ × 5¹ × 7³

Step-3: Factors of 20562

List of positive integer factors of 20562 that divides 20562 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 149, 298, 447, 894, 3427, 6854, 10281

Step-4: Factors of 20580

List of positive integer factors of 20580 that divides 20562 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 343, 420, 490, 588, 686, 735, 980, 1029, 1372, 1470, 1715, 2058, 2940, 3430, 4116, 5145, 6860, 10290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20562 and 20580. The biggest common factor number is the GCF number.
So the greatest common factor 20562 and 20580 is 6.

Also check out the Least Common Multiple of 20562 and 20580