What is the Greatest Common Factor of 20265 and 20272?

Greatest common factor (GCF) of 20265 and 20272 is 7.

GCF(20265,20272) = 7

We will now calculate the prime factors of 20265 and 20272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20265 and 20272.

How to find the GCF of 20265 and 20272?

We will first find the prime factorization of 20265 and 20272. After we will calculate the factors of 20265 and 20272 and find the biggest common factor number .

Step-1: Prime Factorization of 20265

Prime factors of 20265 are 3, 5, 7, 193. Prime factorization of 20265 in exponential form is:

20265 = 3¹ × 5¹ × 7¹ × 193¹

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 20265

List of positive integer factors of 20265 that divides 20265 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 193, 579, 965, 1351, 2895, 4053, 6755

Step-4: Factors of 20272

List of positive integer factors of 20272 that divides 20265 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 20265 and 20272. The biggest common factor number is the GCF number.
So the greatest common factor 20265 and 20272 is 7.

Also check out the Least Common Multiple of 20265 and 20272