What is the Greatest Common Factor of 20270 and 20280?

Greatest common factor (GCF) of 20270 and 20280 is 10.

GCF(20270,20280) = 10

We will now calculate the prime factors of 20270 and 20280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20270 and 20280.

How to find the GCF of 20270 and 20280?

We will first find the prime factorization of 20270 and 20280. After we will calculate the factors of 20270 and 20280 and find the biggest common factor number .

Step-1: Prime Factorization of 20270

Prime factors of 20270 are 2, 5, 2027. Prime factorization of 20270 in exponential form is:

20270 = 2¹ × 5¹ × 2027¹

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 20270

List of positive integer factors of 20270 that divides 20270 without a remainder.

1, 2, 5, 10, 2027, 4054, 10135

Step-4: Factors of 20280

List of positive integer factors of 20280 that divides 20270 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 20270 and 20280. The biggest common factor number is the GCF number.
So the greatest common factor 20270 and 20280 is 10.

Also check out the Least Common Multiple of 20270 and 20280