What is the Greatest Common Factor of 20230 and 20240?

Greatest common factor (GCF) of 20230 and 20240 is 10.

GCF(20230,20240) = 10

We will now calculate the prime factors of 20230 and 20240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20230 and 20240.

How to find the GCF of 20230 and 20240?

We will first find the prime factorization of 20230 and 20240. After we will calculate the factors of 20230 and 20240 and find the biggest common factor number .

Step-1: Prime Factorization of 20230

Prime factors of 20230 are 2, 5, 7, 17. Prime factorization of 20230 in exponential form is:

20230 = 2¹ × 5¹ × 7¹ × 17²

Step-2: 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-3: Factors of 20230

List of positive integer factors of 20230 that divides 20230 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 289, 578, 595, 1190, 1445, 2023, 2890, 4046, 10115

Step-4: Factors of 20240

List of positive integer factors of 20240 that divides 20230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20230 and 20240. The biggest common factor number is the GCF number.
So the greatest common factor 20230 and 20240 is 10.

Also check out the Least Common Multiple of 20230 and 20240