What is the Greatest Common Factor of 39000 and 39015?

Greatest common factor (GCF) of 39000 and 39015 is 15.

GCF(39000,39015) = 15

We will now calculate the prime factors of 39000 and 39015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39000 and 39015.

How to find the GCF of 39000 and 39015?

We will first find the prime factorization of 39000 and 39015. After we will calculate the factors of 39000 and 39015 and find the biggest common factor number .

Step-1: Prime Factorization of 39000

Prime factors of 39000 are 2, 3, 5, 13. Prime factorization of 39000 in exponential form is:

39000 = 2³ × 3¹ × 5³ × 13¹

Step-2: Prime Factorization of 39015

Prime factors of 39015 are 3, 5, 17. Prime factorization of 39015 in exponential form is:

39015 = 3³ × 5¹ × 17²

Step-3: Factors of 39000

List of positive integer factors of 39000 that divides 39000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 125, 130, 150, 156, 195, 200, 250, 260, 300, 312, 325, 375, 390, 500, 520, 600, 650, 750, 780, 975, 1000, 1300, 1500, 1560, 1625, 1950, 2600, 3000, 3250, 3900, 4875, 6500, 7800, 9750, 13000, 19500

Step-4: Factors of 39015

List of positive integer factors of 39015 that divides 39000 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 289, 459, 765, 867, 1445, 2295, 2601, 4335, 7803, 13005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39000 and 39015. The biggest common factor number is the GCF number.
So the greatest common factor 39000 and 39015 is 15.

Also check out the Least Common Multiple of 39000 and 39015