What is the Greatest Common Factor of 94290 and 94310?

Greatest common factor (GCF) of 94290 and 94310 is 10.

GCF(94290,94310) = 10

We will now calculate the prime factors of 94290 and 94310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94290 and 94310.

How to find the GCF of 94290 and 94310?

We will first find the prime factorization of 94290 and 94310. After we will calculate the factors of 94290 and 94310 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 94310

Prime factors of 94310 are 2, 5, 9431. Prime factorization of 94310 in exponential form is:

94310 = 2¹ × 5¹ × 9431¹

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 94310

List of positive integer factors of 94310 that divides 94290 without a remainder.

1, 2, 5, 10, 9431, 18862, 47155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94290 and 94310. The biggest common factor number is the GCF number.
So the greatest common factor 94290 and 94310 is 10.

Also check out the Least Common Multiple of 94290 and 94310