What is the Greatest Common Factor of 20249 and 20256?

Greatest common factor (GCF) of 20249 and 20256 is 1.

GCF(20249,20256) = 1

We will now calculate the prime factors of 20249 and 20256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20249 and 20256.

How to find the GCF of 20249 and 20256?

We will first find the prime factorization of 20249 and 20256. After we will calculate the factors of 20249 and 20256 and find the biggest common factor number .

Step-1: Prime Factorization of 20249

Prime factors of 20249 are 20249. Prime factorization of 20249 in exponential form is:

20249 = 20249¹

Step-2: Prime Factorization of 20256

Prime factors of 20256 are 2, 3, 211. Prime factorization of 20256 in exponential form is:

20256 = 2⁵ × 3¹ × 211¹

Step-3: Factors of 20249

List of positive integer factors of 20249 that divides 20249 without a remainder.

Step-4: Factors of 20256

List of positive integer factors of 20256 that divides 20249 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20249 and 20256. The biggest common factor number is the GCF number.
So the greatest common factor 20249 and 20256 is 1.

Also check out the Least Common Multiple of 20249 and 20256