What is the Greatest Common Factor of 58330 and 58349?

Greatest common factor (GCF) of 58330 and 58349 is 19.

GCF(58330,58349) = 19

We will now calculate the prime factors of 58330 and 58349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58330 and 58349.

How to find the GCF of 58330 and 58349?

We will first find the prime factorization of 58330 and 58349. After we will calculate the factors of 58330 and 58349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58349

Prime factors of 58349 are 19, 37, 83. Prime factorization of 58349 in exponential form is:

58349 = 19¹ × 37¹ × 83¹

Step-3: Factors of 58330

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

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

Step-4: Factors of 58349

List of positive integer factors of 58349 that divides 58330 without a remainder.

1, 19, 37, 83, 703, 1577, 3071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58330 and 58349. The biggest common factor number is the GCF number.
So the greatest common factor 58330 and 58349 is 19.

Also check out the Least Common Multiple of 58330 and 58349