What is the Greatest Common Factor of 20224 and 20228?

Greatest common factor (GCF) of 20224 and 20228 is 4.

GCF(20224,20228) = 4

We will now calculate the prime factors of 20224 and 20228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20224 and 20228.

How to find the GCF of 20224 and 20228?

We will first find the prime factorization of 20224 and 20228. After we will calculate the factors of 20224 and 20228 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 20228

Prime factors of 20228 are 2, 13, 389. Prime factorization of 20228 in exponential form is:

20228 = 2² × 13¹ × 389¹

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 20228

List of positive integer factors of 20228 that divides 20224 without a remainder.

1, 2, 4, 13, 26, 52, 389, 778, 1556, 5057, 10114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20224 and 20228. The biggest common factor number is the GCF number.
So the greatest common factor 20224 and 20228 is 4.

Also check out the Least Common Multiple of 20224 and 20228