What is the Greatest Common Factor of 74327 and 74338?

Greatest common factor (GCF) of 74327 and 74338 is 11.

GCF(74327,74338) = 11

We will now calculate the prime factors of 74327 and 74338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74327 and 74338.

How to find the GCF of 74327 and 74338?

We will first find the prime factorization of 74327 and 74338. After we will calculate the factors of 74327 and 74338 and find the biggest common factor number .

Step-1: Prime Factorization of 74327

Prime factors of 74327 are 11, 29, 233. Prime factorization of 74327 in exponential form is:

74327 = 11¹ × 29¹ × 233¹

Step-2: Prime Factorization of 74338

Prime factors of 74338 are 2, 11, 31, 109. Prime factorization of 74338 in exponential form is:

74338 = 2¹ × 11¹ × 31¹ × 109¹

Step-3: Factors of 74327

List of positive integer factors of 74327 that divides 74327 without a remainder.

1, 11, 29, 233, 319, 2563, 6757

Step-4: Factors of 74338

List of positive integer factors of 74338 that divides 74327 without a remainder.

1, 2, 11, 22, 31, 62, 109, 218, 341, 682, 1199, 2398, 3379, 6758, 37169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74327 and 74338. The biggest common factor number is the GCF number.
So the greatest common factor 74327 and 74338 is 11.

Also check out the Least Common Multiple of 74327 and 74338