What is the Greatest Common Factor of 94065 and 94080?

Greatest common factor (GCF) of 94065 and 94080 is 15.

GCF(94065,94080) = 15

We will now calculate the prime factors of 94065 and 94080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94065 and 94080.

How to find the GCF of 94065 and 94080?

We will first find the prime factorization of 94065 and 94080. After we will calculate the factors of 94065 and 94080 and find the biggest common factor number .

Step-1: Prime Factorization of 94065

Prime factors of 94065 are 3, 5, 6271. Prime factorization of 94065 in exponential form is:

94065 = 3¹ × 5¹ × 6271¹

Step-2: 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-3: Factors of 94065

List of positive integer factors of 94065 that divides 94065 without a remainder.

1, 3, 5, 15, 6271, 18813, 31355

Step-4: Factors of 94080

List of positive integer factors of 94080 that divides 94065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94065 and 94080. The biggest common factor number is the GCF number.
So the greatest common factor 94065 and 94080 is 15.

Also check out the Least Common Multiple of 94065 and 94080