What is the Greatest Common Factor of 58003 and 58014?

Greatest common factor (GCF) of 58003 and 58014 is 11.

GCF(58003,58014) = 11

We will now calculate the prime factors of 58003 and 58014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58003 and 58014.

How to find the GCF of 58003 and 58014?

We will first find the prime factorization of 58003 and 58014. After we will calculate the factors of 58003 and 58014 and find the biggest common factor number .

Step-1: Prime Factorization of 58003

Prime factors of 58003 are 11, 5273. Prime factorization of 58003 in exponential form is:

58003 = 11¹ × 5273¹

Step-2: Prime Factorization of 58014

Prime factors of 58014 are 2, 3, 11, 293. Prime factorization of 58014 in exponential form is:

58014 = 2¹ × 3² × 11¹ × 293¹

Step-3: Factors of 58003

List of positive integer factors of 58003 that divides 58003 without a remainder.

1, 11, 5273

Step-4: Factors of 58014

List of positive integer factors of 58014 that divides 58003 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 293, 586, 879, 1758, 2637, 3223, 5274, 6446, 9669, 19338, 29007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58003 and 58014. The biggest common factor number is the GCF number.
So the greatest common factor 58003 and 58014 is 11.

Also check out the Least Common Multiple of 58003 and 58014