What is the Greatest Common Factor of 74198 and 74217?

Greatest common factor (GCF) of 74198 and 74217 is 1.

GCF(74198,74217) = 1

We will now calculate the prime factors of 74198 and 74217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74198 and 74217.

How to find the GCF of 74198 and 74217?

We will first find the prime factorization of 74198 and 74217. After we will calculate the factors of 74198 and 74217 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74217

Prime factors of 74217 are 3, 11, 13, 173. Prime factorization of 74217 in exponential form is:

74217 = 3¹ × 11¹ × 13¹ × 173¹

Step-3: Factors of 74198

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

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

Step-4: Factors of 74217

List of positive integer factors of 74217 that divides 74198 without a remainder.

1, 3, 11, 13, 33, 39, 143, 173, 429, 519, 1903, 2249, 5709, 6747, 24739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74198 and 74217. The biggest common factor number is the GCF number.
So the greatest common factor 74198 and 74217 is 1.

Also check out the Least Common Multiple of 74198 and 74217