What is the Greatest Common Factor of 20267 and 20280?

Greatest common factor (GCF) of 20267 and 20280 is 13.

GCF(20267,20280) = 13

We will now calculate the prime factors of 20267 and 20280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20267 and 20280.

How to find the GCF of 20267 and 20280?

We will first find the prime factorization of 20267 and 20280. After we will calculate the factors of 20267 and 20280 and find the biggest common factor number .

Step-1: Prime Factorization of 20267

Prime factors of 20267 are 13, 1559. Prime factorization of 20267 in exponential form is:

20267 = 13¹ × 1559¹

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 20267

List of positive integer factors of 20267 that divides 20267 without a remainder.

1, 13, 1559

Step-4: Factors of 20280

List of positive integer factors of 20280 that divides 20267 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 20267 and 20280. The biggest common factor number is the GCF number.
So the greatest common factor 20267 and 20280 is 13.

Also check out the Least Common Multiple of 20267 and 20280