What is the Greatest Common Factor of 20220 and 20230?

Greatest common factor (GCF) of 20220 and 20230 is 10.

GCF(20220,20230) = 10

We will now calculate the prime factors of 20220 and 20230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20220 and 20230.

How to find the GCF of 20220 and 20230?

We will first find the prime factorization of 20220 and 20230. After we will calculate the factors of 20220 and 20230 and find the biggest common factor number .

Step-1: Prime Factorization of 20220

Prime factors of 20220 are 2, 3, 5, 337. Prime factorization of 20220 in exponential form is:

20220 = 2² × 3¹ × 5¹ × 337¹

Step-2: 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-3: Factors of 20220

List of positive integer factors of 20220 that divides 20220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 337, 674, 1011, 1348, 1685, 2022, 3370, 4044, 5055, 6740, 10110

Step-4: Factors of 20230

List of positive integer factors of 20230 that divides 20220 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20220 and 20230. The biggest common factor number is the GCF number.
So the greatest common factor 20220 and 20230 is 10.

Also check out the Least Common Multiple of 20220 and 20230