What is the Greatest Common Factor of 39250 and 39260?

Greatest common factor (GCF) of 39250 and 39260 is 10.

GCF(39250,39260) = 10

We will now calculate the prime factors of 39250 and 39260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39250 and 39260.

How to find the GCF of 39250 and 39260?

We will first find the prime factorization of 39250 and 39260. After we will calculate the factors of 39250 and 39260 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 39260

Prime factors of 39260 are 2, 5, 13, 151. Prime factorization of 39260 in exponential form is:

39260 = 2² × 5¹ × 13¹ × 151¹

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 39260

List of positive integer factors of 39260 that divides 39250 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 151, 260, 302, 604, 755, 1510, 1963, 3020, 3926, 7852, 9815, 19630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39250 and 39260. The biggest common factor number is the GCF number.
So the greatest common factor 39250 and 39260 is 10.

Also check out the Least Common Multiple of 39250 and 39260