What is the Greatest Common Factor of 94390 and 94410?

Greatest common factor (GCF) of 94390 and 94410 is 10.

GCF(94390,94410) = 10

We will now calculate the prime factors of 94390 and 94410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94390 and 94410.

How to find the GCF of 94390 and 94410?

We will first find the prime factorization of 94390 and 94410. After we will calculate the factors of 94390 and 94410 and find the biggest common factor number .

Step-1: Prime Factorization of 94390

Prime factors of 94390 are 2, 5, 9439. Prime factorization of 94390 in exponential form is:

94390 = 2¹ × 5¹ × 9439¹

Step-2: Prime Factorization of 94410

Prime factors of 94410 are 2, 3, 5, 1049. Prime factorization of 94410 in exponential form is:

94410 = 2¹ × 3² × 5¹ × 1049¹

Step-3: Factors of 94390

List of positive integer factors of 94390 that divides 94390 without a remainder.

1, 2, 5, 10, 9439, 18878, 47195

Step-4: Factors of 94410

List of positive integer factors of 94410 that divides 94390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1049, 2098, 3147, 5245, 6294, 9441, 10490, 15735, 18882, 31470, 47205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94390 and 94410. The biggest common factor number is the GCF number.
So the greatest common factor 94390 and 94410 is 10.

Also check out the Least Common Multiple of 94390 and 94410