What is the Greatest Common Factor of 94080 and 94095?

Greatest common factor (GCF) of 94080 and 94095 is 15.

GCF(94080,94095) = 15

We will now calculate the prime factors of 94080 and 94095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94080 and 94095.

How to find the GCF of 94080 and 94095?

We will first find the prime factorization of 94080 and 94095. After we will calculate the factors of 94080 and 94095 and find the biggest common factor number .

Step-1: Prime Factorization of 94080

Prime factors of 94080 are 2, 3, 5, 7. Prime factorization of 94080 in exponential form is:

94080 = 2⁷ × 3¹ × 5¹ × 7²

Step-2: Prime Factorization of 94095

Prime factors of 94095 are 3, 5, 17, 41. Prime factorization of 94095 in exponential form is:

94095 = 3³ × 5¹ × 17¹ × 41¹

Step-3: Factors of 94080

List of positive integer factors of 94080 that divides 94080 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 49, 56, 60, 64, 70, 80, 84, 96, 98, 105, 112, 120, 128, 140, 147, 160, 168, 192, 196, 210, 224, 240, 245, 280, 294, 320, 336, 384, 392, 420, 448, 480, 490, 560, 588, 640, 672, 735, 784, 840, 896, 960, 980, 1120, 1176, 1344, 1470, 1568, 1680, 1920, 1960, 2240, 2352, 2688, 2940, 3136, 3360, 3920, 4480, 4704, 5880, 6272, 6720, 7840, 9408, 11760, 13440, 15680, 18816, 23520, 31360, 47040

Step-4: Factors of 94095

List of positive integer factors of 94095 that divides 94080 without a remainder.

1, 3, 5, 9, 15, 17, 27, 41, 45, 51, 85, 123, 135, 153, 205, 255, 369, 459, 615, 697, 765, 1107, 1845, 2091, 2295, 3485, 5535, 6273, 10455, 18819, 31365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94080 and 94095. The biggest common factor number is the GCF number.
So the greatest common factor 94080 and 94095 is 15.

Also check out the Least Common Multiple of 94080 and 94095