What is the Greatest Common Factor of 58312 and 58330?

Greatest common factor (GCF) of 58312 and 58330 is 2.

GCF(58312,58330) = 2

We will now calculate the prime factors of 58312 and 58330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58312 and 58330.

How to find the GCF of 58312 and 58330?

We will first find the prime factorization of 58312 and 58330. After we will calculate the factors of 58312 and 58330 and find the biggest common factor number .

Step-1: Prime Factorization of 58312

Prime factors of 58312 are 2, 37, 197. Prime factorization of 58312 in exponential form is:

58312 = 2³ × 37¹ × 197¹

Step-2: Prime Factorization of 58330

Prime factors of 58330 are 2, 5, 19, 307. Prime factorization of 58330 in exponential form is:

58330 = 2¹ × 5¹ × 19¹ × 307¹

Step-3: Factors of 58312

List of positive integer factors of 58312 that divides 58312 without a remainder.

1, 2, 4, 8, 37, 74, 148, 197, 296, 394, 788, 1576, 7289, 14578, 29156

Step-4: Factors of 58330

List of positive integer factors of 58330 that divides 58312 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 307, 614, 1535, 3070, 5833, 11666, 29165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58312 and 58330. The biggest common factor number is the GCF number.
So the greatest common factor 58312 and 58330 is 2.

Also check out the Least Common Multiple of 58312 and 58330