What is the Greatest Common Factor of 94290 and 94304?

Greatest common factor (GCF) of 94290 and 94304 is 14.

GCF(94290,94304) = 14

We will now calculate the prime factors of 94290 and 94304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94290 and 94304.

How to find the GCF of 94290 and 94304?

We will first find the prime factorization of 94290 and 94304. After we will calculate the factors of 94290 and 94304 and find the biggest common factor number .

Step-1: Prime Factorization of 94290

Prime factors of 94290 are 2, 3, 5, 7, 449. Prime factorization of 94290 in exponential form is:

94290 = 2¹ × 3¹ × 5¹ × 7¹ × 449¹

Step-2: Prime Factorization of 94304

Prime factors of 94304 are 2, 7, 421. Prime factorization of 94304 in exponential form is:

94304 = 2⁵ × 7¹ × 421¹

Step-3: Factors of 94290

List of positive integer factors of 94290 that divides 94290 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 449, 898, 1347, 2245, 2694, 3143, 4490, 6286, 6735, 9429, 13470, 15715, 18858, 31430, 47145

Step-4: Factors of 94304

List of positive integer factors of 94304 that divides 94290 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 421, 842, 1684, 2947, 3368, 5894, 6736, 11788, 13472, 23576, 47152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94290 and 94304. The biggest common factor number is the GCF number.
So the greatest common factor 94290 and 94304 is 14.

Also check out the Least Common Multiple of 94290 and 94304