What is the Greatest Common Factor of 76312 and 76330?

Greatest common factor (GCF) of 76312 and 76330 is 2.

GCF(76312,76330) = 2

We will now calculate the prime factors of 76312 and 76330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76312 and 76330.

How to find the GCF of 76312 and 76330?

We will first find the prime factorization of 76312 and 76330. After we will calculate the factors of 76312 and 76330 and find the biggest common factor number .

Step-1: Prime Factorization of 76312

Prime factors of 76312 are 2, 9539. Prime factorization of 76312 in exponential form is:

76312 = 2³ × 9539¹

Step-2: Prime Factorization of 76330

Prime factors of 76330 are 2, 5, 17, 449. Prime factorization of 76330 in exponential form is:

76330 = 2¹ × 5¹ × 17¹ × 449¹

Step-3: Factors of 76312

List of positive integer factors of 76312 that divides 76312 without a remainder.

1, 2, 4, 8, 9539, 19078, 38156

Step-4: Factors of 76330

List of positive integer factors of 76330 that divides 76312 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 449, 898, 2245, 4490, 7633, 15266, 38165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76312 and 76330. The biggest common factor number is the GCF number.
So the greatest common factor 76312 and 76330 is 2.

Also check out the Least Common Multiple of 76312 and 76330