What is the Greatest Common Factor of 20224 and 20236?

Greatest common factor (GCF) of 20224 and 20236 is 4.

GCF(20224,20236) = 4

We will now calculate the prime factors of 20224 and 20236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20224 and 20236.

How to find the GCF of 20224 and 20236?

We will first find the prime factorization of 20224 and 20236. After we will calculate the factors of 20224 and 20236 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 20236

Prime factors of 20236 are 2, 5059. Prime factorization of 20236 in exponential form is:

20236 = 2² × 5059¹

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 20236

List of positive integer factors of 20236 that divides 20224 without a remainder.

1, 2, 4, 5059, 10118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20224 and 20236. The biggest common factor number is the GCF number.
So the greatest common factor 20224 and 20236 is 4.

Also check out the Least Common Multiple of 20224 and 20236