What is the Greatest Common Factor of 39150 and 39168?

Greatest common factor (GCF) of 39150 and 39168 is 18.

GCF(39150,39168) = 18

We will now calculate the prime factors of 39150 and 39168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39150 and 39168.

How to find the GCF of 39150 and 39168?

We will first find the prime factorization of 39150 and 39168. After we will calculate the factors of 39150 and 39168 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 39168

Prime factors of 39168 are 2, 3, 17. Prime factorization of 39168 in exponential form is:

39168 = 2⁸ × 3² × 17¹

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 39168

List of positive integer factors of 39168 that divides 39150 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 128, 136, 144, 153, 192, 204, 256, 272, 288, 306, 384, 408, 544, 576, 612, 768, 816, 1088, 1152, 1224, 1632, 2176, 2304, 2448, 3264, 4352, 4896, 6528, 9792, 13056, 19584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39150 and 39168. The biggest common factor number is the GCF number.
So the greatest common factor 39150 and 39168 is 18.

Also check out the Least Common Multiple of 39150 and 39168