What is the Greatest Common Factor of 74316 and 74327?

Greatest common factor (GCF) of 74316 and 74327 is 11.

GCF(74316,74327) = 11

We will now calculate the prime factors of 74316 and 74327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74316 and 74327.

How to find the GCF of 74316 and 74327?

We will first find the prime factorization of 74316 and 74327. After we will calculate the factors of 74316 and 74327 and find the biggest common factor number .

Step-1: Prime Factorization of 74316

Prime factors of 74316 are 2, 3, 11, 563. Prime factorization of 74316 in exponential form is:

74316 = 2² × 3¹ × 11¹ × 563¹

Step-2: 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-3: Factors of 74316

List of positive integer factors of 74316 that divides 74316 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 563, 1126, 1689, 2252, 3378, 6193, 6756, 12386, 18579, 24772, 37158

Step-4: Factors of 74327

List of positive integer factors of 74327 that divides 74316 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74316 and 74327. The biggest common factor number is the GCF number.
So the greatest common factor 74316 and 74327 is 11.

Also check out the Least Common Multiple of 74316 and 74327