What is the Greatest Common Factor of 39590 and 39610?

Greatest common factor (GCF) of 39590 and 39610 is 10.

GCF(39590,39610) = 10

We will now calculate the prime factors of 39590 and 39610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39590 and 39610.

How to find the GCF of 39590 and 39610?

We will first find the prime factorization of 39590 and 39610. After we will calculate the factors of 39590 and 39610 and find the biggest common factor number .

Step-1: Prime Factorization of 39590

Prime factors of 39590 are 2, 5, 37, 107. Prime factorization of 39590 in exponential form is:

39590 = 2¹ × 5¹ × 37¹ × 107¹

Step-2: 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-3: Factors of 39590

List of positive integer factors of 39590 that divides 39590 without a remainder.

1, 2, 5, 10, 37, 74, 107, 185, 214, 370, 535, 1070, 3959, 7918, 19795

Step-4: Factors of 39610

List of positive integer factors of 39610 that divides 39590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39590 and 39610. The biggest common factor number is the GCF number.
So the greatest common factor 39590 and 39610 is 10.

Also check out the Least Common Multiple of 39590 and 39610