What is the Greatest Common Factor of 75312 and 75318?

Greatest common factor (GCF) of 75312 and 75318 is 6.

GCF(75312,75318) = 6

We will now calculate the prime factors of 75312 and 75318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75312 and 75318.

How to find the GCF of 75312 and 75318?

We will first find the prime factorization of 75312 and 75318. After we will calculate the factors of 75312 and 75318 and find the biggest common factor number .

Step-1: Prime Factorization of 75312

Prime factors of 75312 are 2, 3, 523. Prime factorization of 75312 in exponential form is:

75312 = 2⁴ × 3² × 523¹

Step-2: Prime Factorization of 75318

Prime factors of 75318 are 2, 3, 12553. Prime factorization of 75318 in exponential form is:

75318 = 2¹ × 3¹ × 12553¹

Step-3: Factors of 75312

List of positive integer factors of 75312 that divides 75312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 523, 1046, 1569, 2092, 3138, 4184, 4707, 6276, 8368, 9414, 12552, 18828, 25104, 37656

Step-4: Factors of 75318

List of positive integer factors of 75318 that divides 75312 without a remainder.

1, 2, 3, 6, 12553, 25106, 37659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75312 and 75318. The biggest common factor number is the GCF number.
So the greatest common factor 75312 and 75318 is 6.

Also check out the Least Common Multiple of 75312 and 75318