What is the Greatest Common Factor of 39590 and 39604?

Greatest common factor (GCF) of 39590 and 39604 is 2.

GCF(39590,39604) = 2

We will now calculate the prime factors of 39590 and 39604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39590 and 39604.

How to find the GCF of 39590 and 39604?

We will first find the prime factorization of 39590 and 39604. After we will calculate the factors of 39590 and 39604 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 39604

Prime factors of 39604 are 2, 9901. Prime factorization of 39604 in exponential form is:

39604 = 2² × 9901¹

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 39604

List of positive integer factors of 39604 that divides 39590 without a remainder.

1, 2, 4, 9901, 19802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39590 and 39604. The biggest common factor number is the GCF number.
So the greatest common factor 39590 and 39604 is 2.

Also check out the Least Common Multiple of 39590 and 39604