What is the Greatest Common Factor of 20274 and 20278?

Greatest common factor (GCF) of 20274 and 20278 is 2.

GCF(20274,20278) = 2

We will now calculate the prime factors of 20274 and 20278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20274 and 20278.

How to find the GCF of 20274 and 20278?

We will first find the prime factorization of 20274 and 20278. After we will calculate the factors of 20274 and 20278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20278

Prime factors of 20278 are 2, 10139. Prime factorization of 20278 in exponential form is:

20278 = 2¹ × 10139¹

Step-3: Factors of 20274

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

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

Step-4: Factors of 20278

List of positive integer factors of 20278 that divides 20274 without a remainder.

1, 2, 10139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20274 and 20278. The biggest common factor number is the GCF number.
So the greatest common factor 20274 and 20278 is 2.

Also check out the Least Common Multiple of 20274 and 20278