What is the Greatest Common Factor of 94416 and 94430?

Greatest common factor (GCF) of 94416 and 94430 is 14.

GCF(94416,94430) = 14

We will now calculate the prime factors of 94416 and 94430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94416 and 94430.

How to find the GCF of 94416 and 94430?

We will first find the prime factorization of 94416 and 94430. After we will calculate the factors of 94416 and 94430 and find the biggest common factor number .

Step-1: Prime Factorization of 94416

Prime factors of 94416 are 2, 3, 7, 281. Prime factorization of 94416 in exponential form is:

94416 = 2⁴ × 3¹ × 7¹ × 281¹

Step-2: Prime Factorization of 94430

Prime factors of 94430 are 2, 5, 7, 19, 71. Prime factorization of 94430 in exponential form is:

94430 = 2¹ × 5¹ × 7¹ × 19¹ × 71¹

Step-3: Factors of 94416

List of positive integer factors of 94416 that divides 94416 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 281, 336, 562, 843, 1124, 1686, 1967, 2248, 3372, 3934, 4496, 5901, 6744, 7868, 11802, 13488, 15736, 23604, 31472, 47208

Step-4: Factors of 94430

List of positive integer factors of 94430 that divides 94416 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 71, 95, 133, 142, 190, 266, 355, 497, 665, 710, 994, 1330, 1349, 2485, 2698, 4970, 6745, 9443, 13490, 18886, 47215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94416 and 94430. The biggest common factor number is the GCF number.
So the greatest common factor 94416 and 94430 is 14.

Also check out the Least Common Multiple of 94416 and 94430