What is the Greatest Common Factor of 39000 and 39013?

Greatest common factor (GCF) of 39000 and 39013 is 13.

GCF(39000,39013) = 13

We will now calculate the prime factors of 39000 and 39013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39000 and 39013.

How to find the GCF of 39000 and 39013?

We will first find the prime factorization of 39000 and 39013. After we will calculate the factors of 39000 and 39013 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 39013

Prime factors of 39013 are 13, 3001. Prime factorization of 39013 in exponential form is:

39013 = 13¹ × 3001¹

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 39013

List of positive integer factors of 39013 that divides 39000 without a remainder.

1, 13, 3001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39000 and 39013. The biggest common factor number is the GCF number.
So the greatest common factor 39000 and 39013 is 13.

Also check out the Least Common Multiple of 39000 and 39013