What is the Greatest Common Factor of 20224 and 20242?

Greatest common factor (GCF) of 20224 and 20242 is 2.

GCF(20224,20242) = 2

We will now calculate the prime factors of 20224 and 20242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20224 and 20242.

How to find the GCF of 20224 and 20242?

We will first find the prime factorization of 20224 and 20242. After we will calculate the factors of 20224 and 20242 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 20242

Prime factors of 20242 are 2, 29, 349. Prime factorization of 20242 in exponential form is:

20242 = 2¹ × 29¹ × 349¹

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 20242

List of positive integer factors of 20242 that divides 20224 without a remainder.

1, 2, 29, 58, 349, 698, 10121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20224 and 20242. The biggest common factor number is the GCF number.
So the greatest common factor 20224 and 20242 is 2.

Also check out the Least Common Multiple of 20224 and 20242