What is the Greatest Common Factor of 74312 and 74328?

Greatest common factor (GCF) of 74312 and 74328 is 8.

GCF(74312,74328) = 8

We will now calculate the prime factors of 74312 and 74328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74312 and 74328.

How to find the GCF of 74312 and 74328?

We will first find the prime factorization of 74312 and 74328. After we will calculate the factors of 74312 and 74328 and find the biggest common factor number .

Step-1: Prime Factorization of 74312

Prime factors of 74312 are 2, 7, 1327. Prime factorization of 74312 in exponential form is:

74312 = 2³ × 7¹ × 1327¹

Step-2: Prime Factorization of 74328

Prime factors of 74328 are 2, 3, 19, 163. Prime factorization of 74328 in exponential form is:

74328 = 2³ × 3¹ × 19¹ × 163¹

Step-3: Factors of 74312

List of positive integer factors of 74312 that divides 74312 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1327, 2654, 5308, 9289, 10616, 18578, 37156

Step-4: Factors of 74328

List of positive integer factors of 74328 that divides 74312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 163, 228, 326, 456, 489, 652, 978, 1304, 1956, 3097, 3912, 6194, 9291, 12388, 18582, 24776, 37164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74312 and 74328. The biggest common factor number is the GCF number.
So the greatest common factor 74312 and 74328 is 8.

Also check out the Least Common Multiple of 74312 and 74328