What is the Greatest Common Factor of 39150 and 39165?

Greatest common factor (GCF) of 39150 and 39165 is 15.

GCF(39150,39165) = 15

We will now calculate the prime factors of 39150 and 39165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39150 and 39165.

How to find the GCF of 39150 and 39165?

We will first find the prime factorization of 39150 and 39165. After we will calculate the factors of 39150 and 39165 and find the biggest common factor number .

Step-1: Prime Factorization of 39150

Prime factors of 39150 are 2, 3, 5, 29. Prime factorization of 39150 in exponential form is:

39150 = 2¹ × 3³ × 5² × 29¹

Step-2: Prime Factorization of 39165

Prime factors of 39165 are 3, 5, 7, 373. Prime factorization of 39165 in exponential form is:

39165 = 3¹ × 5¹ × 7¹ × 373¹

Step-3: Factors of 39150

List of positive integer factors of 39150 that divides 39150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 29, 30, 45, 50, 54, 58, 75, 87, 90, 135, 145, 150, 174, 225, 261, 270, 290, 435, 450, 522, 675, 725, 783, 870, 1305, 1350, 1450, 1566, 2175, 2610, 3915, 4350, 6525, 7830, 13050, 19575

Step-4: Factors of 39165

List of positive integer factors of 39165 that divides 39150 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 373, 1119, 1865, 2611, 5595, 7833, 13055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39150 and 39165. The biggest common factor number is the GCF number.
So the greatest common factor 39150 and 39165 is 15.

Also check out the Least Common Multiple of 39150 and 39165