What is the Greatest Common Factor of 94080 and 94088?

Greatest common factor (GCF) of 94080 and 94088 is 8.

GCF(94080,94088) = 8

We will now calculate the prime factors of 94080 and 94088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94080 and 94088.

How to find the GCF of 94080 and 94088?

We will first find the prime factorization of 94080 and 94088. After we will calculate the factors of 94080 and 94088 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 94088

Prime factors of 94088 are 2, 19, 619. Prime factorization of 94088 in exponential form is:

94088 = 2³ × 19¹ × 619¹

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 94088

List of positive integer factors of 94088 that divides 94080 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 619, 1238, 2476, 4952, 11761, 23522, 47044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94080 and 94088. The biggest common factor number is the GCF number.
So the greatest common factor 94080 and 94088 is 8.

Also check out the Least Common Multiple of 94080 and 94088