What is the Greatest Common Factor of 20272 and 20279?

Greatest common factor (GCF) of 20272 and 20279 is 7.

GCF(20272,20279) = 7

We will now calculate the prime factors of 20272 and 20279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20272 and 20279.

How to find the GCF of 20272 and 20279?

We will first find the prime factorization of 20272 and 20279. After we will calculate the factors of 20272 and 20279 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20279

Prime factors of 20279 are 7, 2897. Prime factorization of 20279 in exponential form is:

20279 = 7¹ × 2897¹

Step-3: Factors of 20272

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

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

Step-4: Factors of 20279

List of positive integer factors of 20279 that divides 20272 without a remainder.

1, 7, 2897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20272 and 20279. The biggest common factor number is the GCF number.
So the greatest common factor 20272 and 20279 is 7.

Also check out the Least Common Multiple of 20272 and 20279