What is the Greatest Common Factor of 39262 and 39275?

Greatest common factor (GCF) of 39262 and 39275 is 1.

GCF(39262,39275) = 1

We will now calculate the prime factors of 39262 and 39275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39262 and 39275.

How to find the GCF of 39262 and 39275?

We will first find the prime factorization of 39262 and 39275. After we will calculate the factors of 39262 and 39275 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 39275

Prime factors of 39275 are 5, 1571. Prime factorization of 39275 in exponential form is:

39275 = 5² × 1571¹

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 39275

List of positive integer factors of 39275 that divides 39262 without a remainder.

1, 5, 25, 1571, 7855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39262 and 39275. The biggest common factor number is the GCF number.
So the greatest common factor 39262 and 39275 is 1.

Also check out the Least Common Multiple of 39262 and 39275