What is the Greatest Common Factor of 20268 and 20280?

Greatest common factor (GCF) of 20268 and 20280 is 12.

GCF(20268,20280) = 12

We will now calculate the prime factors of 20268 and 20280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20268 and 20280.

How to find the GCF of 20268 and 20280?

We will first find the prime factorization of 20268 and 20280. After we will calculate the factors of 20268 and 20280 and find the biggest common factor number .

Step-1: Prime Factorization of 20268

Prime factors of 20268 are 2, 3, 563. Prime factorization of 20268 in exponential form is:

20268 = 2² × 3² × 563¹

Step-2: Prime Factorization of 20280

Prime factors of 20280 are 2, 3, 5, 13. Prime factorization of 20280 in exponential form is:

20280 = 2³ × 3¹ × 5¹ × 13²

Step-3: Factors of 20268

List of positive integer factors of 20268 that divides 20268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 563, 1126, 1689, 2252, 3378, 5067, 6756, 10134

Step-4: Factors of 20280

List of positive integer factors of 20280 that divides 20268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 169, 195, 260, 312, 338, 390, 507, 520, 676, 780, 845, 1014, 1352, 1560, 1690, 2028, 2535, 3380, 4056, 5070, 6760, 10140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20268 and 20280. The biggest common factor number is the GCF number.
So the greatest common factor 20268 and 20280 is 12.

Also check out the Least Common Multiple of 20268 and 20280