What is the Greatest Common Factor of 20240 and 20260?

Greatest common factor (GCF) of 20240 and 20260 is 20.

GCF(20240,20260) = 20

We will now calculate the prime factors of 20240 and 20260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20240 and 20260.

How to find the GCF of 20240 and 20260?

We will first find the prime factorization of 20240 and 20260. After we will calculate the factors of 20240 and 20260 and find the biggest common factor number .

Step-1: Prime Factorization of 20240

Prime factors of 20240 are 2, 5, 11, 23. Prime factorization of 20240 in exponential form is:

20240 = 2⁴ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 20260

Prime factors of 20260 are 2, 5, 1013. Prime factorization of 20260 in exponential form is:

20260 = 2² × 5¹ × 1013¹

Step-3: Factors of 20240

List of positive integer factors of 20240 that divides 20240 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 40, 44, 46, 55, 80, 88, 92, 110, 115, 176, 184, 220, 230, 253, 368, 440, 460, 506, 880, 920, 1012, 1265, 1840, 2024, 2530, 4048, 5060, 10120

Step-4: Factors of 20260

List of positive integer factors of 20260 that divides 20240 without a remainder.

1, 2, 4, 5, 10, 20, 1013, 2026, 4052, 5065, 10130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20240 and 20260. The biggest common factor number is the GCF number.
So the greatest common factor 20240 and 20260 is 20.

Also check out the Least Common Multiple of 20240 and 20260