What is the Greatest Common Factor of 58310 and 58324?

Greatest common factor (GCF) of 58310 and 58324 is 14.

GCF(58310,58324) = 14

We will now calculate the prime factors of 58310 and 58324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58310 and 58324.

How to find the GCF of 58310 and 58324?

We will first find the prime factorization of 58310 and 58324. After we will calculate the factors of 58310 and 58324 and find the biggest common factor number .

Step-1: Prime Factorization of 58310

Prime factors of 58310 are 2, 5, 7, 17. Prime factorization of 58310 in exponential form is:

58310 = 2¹ × 5¹ × 7³ × 17¹

Step-2: Prime Factorization of 58324

Prime factors of 58324 are 2, 7, 2083. Prime factorization of 58324 in exponential form is:

58324 = 2² × 7¹ × 2083¹

Step-3: Factors of 58310

List of positive integer factors of 58310 that divides 58310 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 343, 490, 595, 686, 833, 1190, 1666, 1715, 3430, 4165, 5831, 8330, 11662, 29155

Step-4: Factors of 58324

List of positive integer factors of 58324 that divides 58310 without a remainder.

1, 2, 4, 7, 14, 28, 2083, 4166, 8332, 14581, 29162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58310 and 58324. The biggest common factor number is the GCF number.
So the greatest common factor 58310 and 58324 is 14.

Also check out the Least Common Multiple of 58310 and 58324