What is the Greatest Common Factor of 74273 and 74287?

Greatest common factor (GCF) of 74273 and 74287 is 1.

GCF(74273,74287) = 1

We will now calculate the prime factors of 74273 and 74287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74273 and 74287.

How to find the GCF of 74273 and 74287?

We will first find the prime factorization of 74273 and 74287. After we will calculate the factors of 74273 and 74287 and find the biggest common factor number .

Step-1: Prime Factorization of 74273

Prime factors of 74273 are 17, 257. Prime factorization of 74273 in exponential form is:

74273 = 17² × 257¹

Step-2: Prime Factorization of 74287

Prime factors of 74287 are 74287. Prime factorization of 74287 in exponential form is:

74287 = 74287¹

Step-3: Factors of 74273

List of positive integer factors of 74273 that divides 74273 without a remainder.

1, 17, 257, 289, 4369

Step-4: Factors of 74287

List of positive integer factors of 74287 that divides 74273 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74273 and 74287. The biggest common factor number is the GCF number.
So the greatest common factor 74273 and 74287 is 1.

Also check out the Least Common Multiple of 74273 and 74287