What is the Greatest Common Factor of 20272 and 20276?

Greatest common factor (GCF) of 20272 and 20276 is 4.

GCF(20272,20276) = 4

We will now calculate the prime factors of 20272 and 20276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20272 and 20276.

How to find the GCF of 20272 and 20276?

We will first find the prime factorization of 20272 and 20276. After we will calculate the factors of 20272 and 20276 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 20276

Prime factors of 20276 are 2, 37, 137. Prime factorization of 20276 in exponential form is:

20276 = 2² × 37¹ × 137¹

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 20276

List of positive integer factors of 20276 that divides 20272 without a remainder.

1, 2, 4, 37, 74, 137, 148, 274, 548, 5069, 10138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20272 and 20276. The biggest common factor number is the GCF number.
So the greatest common factor 20272 and 20276 is 4.

Also check out the Least Common Multiple of 20272 and 20276