What is the Greatest Common Factor of 20224 and 20239?

Greatest common factor (GCF) of 20224 and 20239 is 1.

GCF(20224,20239) = 1

We will now calculate the prime factors of 20224 and 20239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20224 and 20239.

How to find the GCF of 20224 and 20239?

We will first find the prime factorization of 20224 and 20239. After we will calculate the factors of 20224 and 20239 and find the biggest common factor number .

Step-1: Prime Factorization of 20224

Prime factors of 20224 are 2, 79. Prime factorization of 20224 in exponential form is:

20224 = 2⁸ × 79¹

Step-2: Prime Factorization of 20239

Prime factors of 20239 are 37, 547. Prime factorization of 20239 in exponential form is:

20239 = 37¹ × 547¹

Step-3: Factors of 20224

List of positive integer factors of 20224 that divides 20224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 632, 1264, 2528, 5056, 10112

Step-4: Factors of 20239

List of positive integer factors of 20239 that divides 20224 without a remainder.

1, 37, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20224 and 20239. The biggest common factor number is the GCF number.
So the greatest common factor 20224 and 20239 is 1.

Also check out the Least Common Multiple of 20224 and 20239