What is the Greatest Common Factor of 39610 and 39625?

Greatest common factor (GCF) of 39610 and 39625 is 5.

GCF(39610,39625) = 5

We will now calculate the prime factors of 39610 and 39625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39610 and 39625.

How to find the GCF of 39610 and 39625?

We will first find the prime factorization of 39610 and 39625. After we will calculate the factors of 39610 and 39625 and find the biggest common factor number .

Step-1: Prime Factorization of 39610

Prime factors of 39610 are 2, 5, 17, 233. Prime factorization of 39610 in exponential form is:

39610 = 2¹ × 5¹ × 17¹ × 233¹

Step-2: Prime Factorization of 39625

Prime factors of 39625 are 5, 317. Prime factorization of 39625 in exponential form is:

39625 = 5³ × 317¹

Step-3: Factors of 39610

List of positive integer factors of 39610 that divides 39610 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 233, 466, 1165, 2330, 3961, 7922, 19805

Step-4: Factors of 39625

List of positive integer factors of 39625 that divides 39610 without a remainder.

1, 5, 25, 125, 317, 1585, 7925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39610 and 39625. The biggest common factor number is the GCF number.
So the greatest common factor 39610 and 39625 is 5.

Also check out the Least Common Multiple of 39610 and 39625