What is the Greatest Common Factor of 39570 and 39585?

Greatest common factor (GCF) of 39570 and 39585 is 15.

GCF(39570,39585) = 15

We will now calculate the prime factors of 39570 and 39585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39570 and 39585.

How to find the GCF of 39570 and 39585?

We will first find the prime factorization of 39570 and 39585. After we will calculate the factors of 39570 and 39585 and find the biggest common factor number .

Step-1: Prime Factorization of 39570

Prime factors of 39570 are 2, 3, 5, 1319. Prime factorization of 39570 in exponential form is:

39570 = 2¹ × 3¹ × 5¹ × 1319¹

Step-2: Prime Factorization of 39585

Prime factors of 39585 are 3, 5, 7, 13, 29. Prime factorization of 39585 in exponential form is:

39585 = 3¹ × 5¹ × 7¹ × 13¹ × 29¹

Step-3: Factors of 39570

List of positive integer factors of 39570 that divides 39570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1319, 2638, 3957, 6595, 7914, 13190, 19785

Step-4: Factors of 39585

List of positive integer factors of 39585 that divides 39570 without a remainder.

1, 3, 5, 7, 13, 15, 21, 29, 35, 39, 65, 87, 91, 105, 145, 195, 203, 273, 377, 435, 455, 609, 1015, 1131, 1365, 1885, 2639, 3045, 5655, 7917, 13195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39570 and 39585. The biggest common factor number is the GCF number.
So the greatest common factor 39570 and 39585 is 15.

Also check out the Least Common Multiple of 39570 and 39585