What is the Greatest Common Factor of 39684 and 39695?

Greatest common factor (GCF) of 39684 and 39695 is 1.

GCF(39684,39695) = 1

We will now calculate the prime factors of 39684 and 39695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39684 and 39695.

How to find the GCF of 39684 and 39695?

We will first find the prime factorization of 39684 and 39695. After we will calculate the factors of 39684 and 39695 and find the biggest common factor number .

Step-1: Prime Factorization of 39684

Prime factors of 39684 are 2, 3, 3307. Prime factorization of 39684 in exponential form is:

39684 = 2² × 3¹ × 3307¹

Step-2: Prime Factorization of 39695

Prime factors of 39695 are 5, 17, 467. Prime factorization of 39695 in exponential form is:

39695 = 5¹ × 17¹ × 467¹

Step-3: Factors of 39684

List of positive integer factors of 39684 that divides 39684 without a remainder.

1, 2, 3, 4, 6, 12, 3307, 6614, 9921, 13228, 19842

Step-4: Factors of 39695

List of positive integer factors of 39695 that divides 39684 without a remainder.

1, 5, 17, 85, 467, 2335, 7939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39684 and 39695. The biggest common factor number is the GCF number.
So the greatest common factor 39684 and 39695 is 1.

Also check out the Least Common Multiple of 39684 and 39695