What is the Greatest Common Factor of 94290 and 94300?

Greatest common factor (GCF) of 94290 and 94300 is 10.

GCF(94290,94300) = 10

We will now calculate the prime factors of 94290 and 94300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94290 and 94300.

How to find the GCF of 94290 and 94300?

We will first find the prime factorization of 94290 and 94300. After we will calculate the factors of 94290 and 94300 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 94300

Prime factors of 94300 are 2, 5, 23, 41. Prime factorization of 94300 in exponential form is:

94300 = 2² × 5² × 23¹ × 41¹

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 94300

List of positive integer factors of 94300 that divides 94290 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 41, 46, 50, 82, 92, 100, 115, 164, 205, 230, 410, 460, 575, 820, 943, 1025, 1150, 1886, 2050, 2300, 3772, 4100, 4715, 9430, 18860, 23575, 47150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94290 and 94300. The biggest common factor number is the GCF number.
So the greatest common factor 94290 and 94300 is 10.

Also check out the Least Common Multiple of 94290 and 94300