What is the Greatest Common Factor of 20280 and 20293?

Greatest common factor (GCF) of 20280 and 20293 is 13.

GCF(20280,20293) = 13

We will now calculate the prime factors of 20280 and 20293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20280 and 20293.

How to find the GCF of 20280 and 20293?

We will first find the prime factorization of 20280 and 20293. After we will calculate the factors of 20280 and 20293 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20293

Prime factors of 20293 are 7, 13, 223. Prime factorization of 20293 in exponential form is:

20293 = 7¹ × 13¹ × 223¹

Step-3: Factors of 20280

List of positive integer factors of 20280 that divides 20280 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

Step-4: Factors of 20293

List of positive integer factors of 20293 that divides 20280 without a remainder.

1, 7, 13, 91, 223, 1561, 2899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20280 and 20293. The biggest common factor number is the GCF number.
So the greatest common factor 20280 and 20293 is 13.

Also check out the Least Common Multiple of 20280 and 20293