What is the Greatest Common Factor of 94075 and 94080?

Greatest common factor (GCF) of 94075 and 94080 is 5.

GCF(94075,94080) = 5

We will now calculate the prime factors of 94075 and 94080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94075 and 94080.

How to find the GCF of 94075 and 94080?

We will first find the prime factorization of 94075 and 94080. After we will calculate the factors of 94075 and 94080 and find the biggest common factor number .

Step-1: Prime Factorization of 94075

Prime factors of 94075 are 5, 53, 71. Prime factorization of 94075 in exponential form is:

94075 = 5² × 53¹ × 71¹

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 94075

List of positive integer factors of 94075 that divides 94075 without a remainder.

1, 5, 25, 53, 71, 265, 355, 1325, 1775, 3763, 18815

Step-4: Factors of 94080

List of positive integer factors of 94080 that divides 94075 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 94075 and 94080. The biggest common factor number is the GCF number.
So the greatest common factor 94075 and 94080 is 5.

Also check out the Least Common Multiple of 94075 and 94080