What is the Greatest Common Factor of 39250 and 39263?

Greatest common factor (GCF) of 39250 and 39263 is 1.

GCF(39250,39263) = 1

We will now calculate the prime factors of 39250 and 39263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39250 and 39263.

How to find the GCF of 39250 and 39263?

We will first find the prime factorization of 39250 and 39263. After we will calculate the factors of 39250 and 39263 and find the biggest common factor number .

Step-1: Prime Factorization of 39250

Prime factors of 39250 are 2, 5, 157. Prime factorization of 39250 in exponential form is:

39250 = 2¹ × 5³ × 157¹

Step-2: Prime Factorization of 39263

Prime factors of 39263 are 7, 71, 79. Prime factorization of 39263 in exponential form is:

39263 = 7¹ × 71¹ × 79¹

Step-3: Factors of 39250

List of positive integer factors of 39250 that divides 39250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625

Step-4: Factors of 39263

List of positive integer factors of 39263 that divides 39250 without a remainder.

1, 7, 71, 79, 497, 553, 5609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39250 and 39263. The biggest common factor number is the GCF number.
So the greatest common factor 39250 and 39263 is 1.

Also check out the Least Common Multiple of 39250 and 39263