What is the Greatest Common Factor of 58837 and 58854?

Greatest common factor (GCF) of 58837 and 58854 is 17.

GCF(58837,58854) = 17

We will now calculate the prime factors of 58837 and 58854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58837 and 58854.

How to find the GCF of 58837 and 58854?

We will first find the prime factorization of 58837 and 58854. After we will calculate the factors of 58837 and 58854 and find the biggest common factor number .

Step-1: Prime Factorization of 58837

Prime factors of 58837 are 17, 3461. Prime factorization of 58837 in exponential form is:

58837 = 17¹ × 3461¹

Step-2: Prime Factorization of 58854

Prime factors of 58854 are 2, 3, 17, 577. Prime factorization of 58854 in exponential form is:

58854 = 2¹ × 3¹ × 17¹ × 577¹

Step-3: Factors of 58837

List of positive integer factors of 58837 that divides 58837 without a remainder.

1, 17, 3461

Step-4: Factors of 58854

List of positive integer factors of 58854 that divides 58837 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 577, 1154, 1731, 3462, 9809, 19618, 29427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58837 and 58854. The biggest common factor number is the GCF number.
So the greatest common factor 58837 and 58854 is 17.

Also check out the Least Common Multiple of 58837 and 58854