What is the Greatest Common Factor of 20268 and 20274?

Greatest common factor (GCF) of 20268 and 20274 is 6.

GCF(20268,20274) = 6

We will now calculate the prime factors of 20268 and 20274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20268 and 20274.

How to find the GCF of 20268 and 20274?

We will first find the prime factorization of 20268 and 20274. After we will calculate the factors of 20268 and 20274 and find the biggest common factor number .

Step-1: Prime Factorization of 20268

Prime factors of 20268 are 2, 3, 563. Prime factorization of 20268 in exponential form is:

20268 = 2² × 3² × 563¹

Step-2: Prime Factorization of 20274

Prime factors of 20274 are 2, 3, 31, 109. Prime factorization of 20274 in exponential form is:

20274 = 2¹ × 3¹ × 31¹ × 109¹

Step-3: Factors of 20268

List of positive integer factors of 20268 that divides 20268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 563, 1126, 1689, 2252, 3378, 5067, 6756, 10134

Step-4: Factors of 20274

List of positive integer factors of 20274 that divides 20268 without a remainder.

1, 2, 3, 6, 31, 62, 93, 109, 186, 218, 327, 654, 3379, 6758, 10137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20268 and 20274. The biggest common factor number is the GCF number.
So the greatest common factor 20268 and 20274 is 6.

Also check out the Least Common Multiple of 20268 and 20274