What is the Greatest Common Factor of 58370 and 58383?

Greatest common factor (GCF) of 58370 and 58383 is 13.

GCF(58370,58383) = 13

We will now calculate the prime factors of 58370 and 58383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58370 and 58383.

How to find the GCF of 58370 and 58383?

We will first find the prime factorization of 58370 and 58383. After we will calculate the factors of 58370 and 58383 and find the biggest common factor number .

Step-1: Prime Factorization of 58370

Prime factors of 58370 are 2, 5, 13, 449. Prime factorization of 58370 in exponential form is:

58370 = 2¹ × 5¹ × 13¹ × 449¹

Step-2: Prime Factorization of 58383

Prime factors of 58383 are 3, 13, 499. Prime factorization of 58383 in exponential form is:

58383 = 3² × 13¹ × 499¹

Step-3: Factors of 58370

List of positive integer factors of 58370 that divides 58370 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 449, 898, 2245, 4490, 5837, 11674, 29185

Step-4: Factors of 58383

List of positive integer factors of 58383 that divides 58370 without a remainder.

1, 3, 9, 13, 39, 117, 499, 1497, 4491, 6487, 19461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58370 and 58383. The biggest common factor number is the GCF number.
So the greatest common factor 58370 and 58383 is 13.

Also check out the Least Common Multiple of 58370 and 58383