What is the Greatest Common Factor of 39254 and 39272?

Greatest common factor (GCF) of 39254 and 39272 is 2.

GCF(39254,39272) = 2

We will now calculate the prime factors of 39254 and 39272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39254 and 39272.

How to find the GCF of 39254 and 39272?

We will first find the prime factorization of 39254 and 39272. After we will calculate the factors of 39254 and 39272 and find the biggest common factor number .

Step-1: Prime Factorization of 39254

Prime factors of 39254 are 2, 19, 1033. Prime factorization of 39254 in exponential form is:

39254 = 2¹ × 19¹ × 1033¹

Step-2: Prime Factorization of 39272

Prime factors of 39272 are 2, 4909. Prime factorization of 39272 in exponential form is:

39272 = 2³ × 4909¹

Step-3: Factors of 39254

List of positive integer factors of 39254 that divides 39254 without a remainder.

1, 2, 19, 38, 1033, 2066, 19627

Step-4: Factors of 39272

List of positive integer factors of 39272 that divides 39254 without a remainder.

1, 2, 4, 8, 4909, 9818, 19636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39254 and 39272. The biggest common factor number is the GCF number.
So the greatest common factor 39254 and 39272 is 2.

Also check out the Least Common Multiple of 39254 and 39272