What is the Greatest Common Factor of 74298 and 74317?

Greatest common factor (GCF) of 74298 and 74317 is 1.

GCF(74298,74317) = 1

We will now calculate the prime factors of 74298 and 74317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74298 and 74317.

How to find the GCF of 74298 and 74317?

We will first find the prime factorization of 74298 and 74317. After we will calculate the factors of 74298 and 74317 and find the biggest common factor number .

Step-1: Prime Factorization of 74298

Prime factors of 74298 are 2, 3, 7, 29, 61. Prime factorization of 74298 in exponential form is:

74298 = 2¹ × 3¹ × 7¹ × 29¹ × 61¹

Step-2: Prime Factorization of 74317

Prime factors of 74317 are 74317. Prime factorization of 74317 in exponential form is:

74317 = 74317¹

Step-3: Factors of 74298

List of positive integer factors of 74298 that divides 74298 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 61, 87, 122, 174, 183, 203, 366, 406, 427, 609, 854, 1218, 1281, 1769, 2562, 3538, 5307, 10614, 12383, 24766, 37149

Step-4: Factors of 74317

List of positive integer factors of 74317 that divides 74298 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74298 and 74317. The biggest common factor number is the GCF number.
So the greatest common factor 74298 and 74317 is 1.

Also check out the Least Common Multiple of 74298 and 74317