What is the Greatest Common Factor of 39262 and 39272?

Greatest common factor (GCF) of 39262 and 39272 is 2.

GCF(39262,39272) = 2

We will now calculate the prime factors of 39262 and 39272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39262 and 39272.

How to find the GCF of 39262 and 39272?

We will first find the prime factorization of 39262 and 39272. After we will calculate the factors of 39262 and 39272 and find the biggest common factor number .

Step-1: Prime Factorization of 39262

Prime factors of 39262 are 2, 67, 293. Prime factorization of 39262 in exponential form is:

39262 = 2¹ × 67¹ × 293¹

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 39262

List of positive integer factors of 39262 that divides 39262 without a remainder.

1, 2, 67, 134, 293, 586, 19631

Step-4: Factors of 39272

List of positive integer factors of 39272 that divides 39262 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39262 and 39272. The biggest common factor number is the GCF number.
So the greatest common factor 39262 and 39272 is 2.

Also check out the Least Common Multiple of 39262 and 39272