What is the Greatest Common Factor of 39690 and 39695?

Greatest common factor (GCF) of 39690 and 39695 is 5.

GCF(39690,39695) = 5

We will now calculate the prime factors of 39690 and 39695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39690 and 39695.

How to find the GCF of 39690 and 39695?

We will first find the prime factorization of 39690 and 39695. After we will calculate the factors of 39690 and 39695 and find the biggest common factor number .

Step-1: Prime Factorization of 39690

Prime factors of 39690 are 2, 3, 5, 7. Prime factorization of 39690 in exponential form is:

39690 = 2¹ × 3⁴ × 5¹ × 7²

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 39690

List of positive integer factors of 39690 that divides 39690 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 81, 90, 98, 105, 126, 135, 147, 162, 189, 210, 245, 270, 294, 315, 378, 405, 441, 490, 567, 630, 735, 810, 882, 945, 1134, 1323, 1470, 1890, 2205, 2646, 2835, 3969, 4410, 5670, 6615, 7938, 13230, 19845

Step-4: Factors of 39695

List of positive integer factors of 39695 that divides 39690 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39690 and 39695. The biggest common factor number is the GCF number.
So the greatest common factor 39690 and 39695 is 5.

Also check out the Least Common Multiple of 39690 and 39695