What is the Greatest Common Factor of 74284 and 74297?

Greatest common factor (GCF) of 74284 and 74297 is 1.

GCF(74284,74297) = 1

We will now calculate the prime factors of 74284 and 74297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74284 and 74297.

How to find the GCF of 74284 and 74297?

We will first find the prime factorization of 74284 and 74297. After we will calculate the factors of 74284 and 74297 and find the biggest common factor number .

Step-1: Prime Factorization of 74284

Prime factors of 74284 are 2, 7, 379. Prime factorization of 74284 in exponential form is:

74284 = 2² × 7² × 379¹

Step-2: Prime Factorization of 74297

Prime factors of 74297 are 74297. Prime factorization of 74297 in exponential form is:

74297 = 74297¹

Step-3: Factors of 74284

List of positive integer factors of 74284 that divides 74284 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 379, 758, 1516, 2653, 5306, 10612, 18571, 37142

Step-4: Factors of 74297

List of positive integer factors of 74297 that divides 74284 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74284 and 74297. The biggest common factor number is the GCF number.
So the greatest common factor 74284 and 74297 is 1.

Also check out the Least Common Multiple of 74284 and 74297