What is the Greatest Common Factor of 74213 and 74227?

Greatest common factor (GCF) of 74213 and 74227 is 1.

GCF(74213,74227) = 1

We will now calculate the prime factors of 74213 and 74227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74213 and 74227.

How to find the GCF of 74213 and 74227?

We will first find the prime factorization of 74213 and 74227. After we will calculate the factors of 74213 and 74227 and find the biggest common factor number .

Step-1: Prime Factorization of 74213

Prime factors of 74213 are 47, 1579. Prime factorization of 74213 in exponential form is:

74213 = 47¹ × 1579¹

Step-2: Prime Factorization of 74227

Prime factors of 74227 are 199, 373. Prime factorization of 74227 in exponential form is:

74227 = 199¹ × 373¹

Step-3: Factors of 74213

List of positive integer factors of 74213 that divides 74213 without a remainder.

1, 47, 1579

Step-4: Factors of 74227

List of positive integer factors of 74227 that divides 74213 without a remainder.

1, 199, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74213 and 74227. The biggest common factor number is the GCF number.
So the greatest common factor 74213 and 74227 is 1.

Also check out the Least Common Multiple of 74213 and 74227