What is the Greatest Common Factor of 74310 and 74316?

Greatest common factor (GCF) of 74310 and 74316 is 6.

GCF(74310,74316) = 6

We will now calculate the prime factors of 74310 and 74316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74310 and 74316.

How to find the GCF of 74310 and 74316?

We will first find the prime factorization of 74310 and 74316. After we will calculate the factors of 74310 and 74316 and find the biggest common factor number .

Step-1: Prime Factorization of 74310

Prime factors of 74310 are 2, 3, 5, 2477. Prime factorization of 74310 in exponential form is:

74310 = 2¹ × 3¹ × 5¹ × 2477¹

Step-2: 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-3: Factors of 74310

List of positive integer factors of 74310 that divides 74310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2477, 4954, 7431, 12385, 14862, 24770, 37155

Step-4: Factors of 74316

List of positive integer factors of 74316 that divides 74310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74310 and 74316. The biggest common factor number is the GCF number.
So the greatest common factor 74310 and 74316 is 6.

Also check out the Least Common Multiple of 74310 and 74316