What is the Greatest Common Factor of 74190 and 74198?

Greatest common factor (GCF) of 74190 and 74198 is 2.

GCF(74190,74198) = 2

We will now calculate the prime factors of 74190 and 74198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74190 and 74198.

How to find the GCF of 74190 and 74198?

We will first find the prime factorization of 74190 and 74198. After we will calculate the factors of 74190 and 74198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74198

Prime factors of 74198 are 2, 23, 1613. Prime factorization of 74198 in exponential form is:

74198 = 2¹ × 23¹ × 1613¹

Step-3: Factors of 74190

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

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

Step-4: Factors of 74198

List of positive integer factors of 74198 that divides 74190 without a remainder.

1, 2, 23, 46, 1613, 3226, 37099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74190 and 74198. The biggest common factor number is the GCF number.
So the greatest common factor 74190 and 74198 is 2.

Also check out the Least Common Multiple of 74190 and 74198