What is the Greatest Common Factor of 20261 and 20280?

Greatest common factor (GCF) of 20261 and 20280 is 1.

GCF(20261,20280) = 1

We will now calculate the prime factors of 20261 and 20280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20261 and 20280.

How to find the GCF of 20261 and 20280?

We will first find the prime factorization of 20261 and 20280. After we will calculate the factors of 20261 and 20280 and find the biggest common factor number .

Step-1: Prime Factorization of 20261

Prime factors of 20261 are 20261. Prime factorization of 20261 in exponential form is:

20261 = 20261¹

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 20261

List of positive integer factors of 20261 that divides 20261 without a remainder.

Step-4: Factors of 20280

List of positive integer factors of 20280 that divides 20261 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 20261 and 20280. The biggest common factor number is the GCF number.
So the greatest common factor 20261 and 20280 is 1.

Also check out the Least Common Multiple of 20261 and 20280