What is the Greatest Common Factor of 74185 and 74190?

Greatest common factor (GCF) of 74185 and 74190 is 5.

GCF(74185,74190) = 5

We will now calculate the prime factors of 74185 and 74190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74185 and 74190.

How to find the GCF of 74185 and 74190?

We will first find the prime factorization of 74185 and 74190. After we will calculate the factors of 74185 and 74190 and find the biggest common factor number .

Step-1: Prime Factorization of 74185

Prime factors of 74185 are 5, 37, 401. Prime factorization of 74185 in exponential form is:

74185 = 5¹ × 37¹ × 401¹

Step-2: Prime Factorization of 74190

Prime factors of 74190 are 2, 3, 5, 2473. Prime factorization of 74190 in exponential form is:

74190 = 2¹ × 3¹ × 5¹ × 2473¹

Step-3: Factors of 74185

List of positive integer factors of 74185 that divides 74185 without a remainder.

1, 5, 37, 185, 401, 2005, 14837

Step-4: Factors of 74190

List of positive integer factors of 74190 that divides 74185 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2473, 4946, 7419, 12365, 14838, 24730, 37095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74185 and 74190. The biggest common factor number is the GCF number.
So the greatest common factor 74185 and 74190 is 5.

Also check out the Least Common Multiple of 74185 and 74190