What is the Greatest Common Factor of 58331 and 58338?

Greatest common factor (GCF) of 58331 and 58338 is 7.

GCF(58331,58338) = 7

We will now calculate the prime factors of 58331 and 58338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58331 and 58338.

How to find the GCF of 58331 and 58338?

We will first find the prime factorization of 58331 and 58338. After we will calculate the factors of 58331 and 58338 and find the biggest common factor number .

Step-1: Prime Factorization of 58331

Prime factors of 58331 are 7, 13, 641. Prime factorization of 58331 in exponential form is:

58331 = 7¹ × 13¹ × 641¹

Step-2: Prime Factorization of 58338

Prime factors of 58338 are 2, 3, 7, 463. Prime factorization of 58338 in exponential form is:

58338 = 2¹ × 3² × 7¹ × 463¹

Step-3: Factors of 58331

List of positive integer factors of 58331 that divides 58331 without a remainder.

1, 7, 13, 91, 641, 4487, 8333

Step-4: Factors of 58338

List of positive integer factors of 58338 that divides 58331 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 463, 926, 1389, 2778, 3241, 4167, 6482, 8334, 9723, 19446, 29169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58331 and 58338. The biggest common factor number is the GCF number.
So the greatest common factor 58331 and 58338 is 7.

Also check out the Least Common Multiple of 58331 and 58338