What is the Greatest Common Factor of 39150 and 39163?

Greatest common factor (GCF) of 39150 and 39163 is 1.

GCF(39150,39163) = 1

We will now calculate the prime factors of 39150 and 39163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39150 and 39163.

How to find the GCF of 39150 and 39163?

We will first find the prime factorization of 39150 and 39163. After we will calculate the factors of 39150 and 39163 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 39163

Prime factors of 39163 are 39163. Prime factorization of 39163 in exponential form is:

39163 = 39163¹

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 39163

List of positive integer factors of 39163 that divides 39150 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39150 and 39163. The biggest common factor number is the GCF number.
So the greatest common factor 39150 and 39163 is 1.

Also check out the Least Common Multiple of 39150 and 39163