What is the Greatest Common Factor of 20258 and 20272?

Greatest common factor (GCF) of 20258 and 20272 is 14.

GCF(20258,20272) = 14

We will now calculate the prime factors of 20258 and 20272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20258 and 20272.

How to find the GCF of 20258 and 20272?

We will first find the prime factorization of 20258 and 20272. After we will calculate the factors of 20258 and 20272 and find the biggest common factor number .

Step-1: Prime Factorization of 20258

Prime factors of 20258 are 2, 7, 1447. Prime factorization of 20258 in exponential form is:

20258 = 2¹ × 7¹ × 1447¹

Step-2: Prime Factorization of 20272

Prime factors of 20272 are 2, 7, 181. Prime factorization of 20272 in exponential form is:

20272 = 2⁴ × 7¹ × 181¹

Step-3: Factors of 20258

List of positive integer factors of 20258 that divides 20258 without a remainder.

1, 2, 7, 14, 1447, 2894, 10129

Step-4: Factors of 20272

List of positive integer factors of 20272 that divides 20258 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 181, 362, 724, 1267, 1448, 2534, 2896, 5068, 10136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20258 and 20272. The biggest common factor number is the GCF number.
So the greatest common factor 20258 and 20272 is 14.

Also check out the Least Common Multiple of 20258 and 20272