What is the Greatest Common Factor of 58614 and 58626?

Greatest common factor (GCF) of 58614 and 58626 is 6.

GCF(58614,58626) = 6

We will now calculate the prime factors of 58614 and 58626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58614 and 58626.

How to find the GCF of 58614 and 58626?

We will first find the prime factorization of 58614 and 58626. After we will calculate the factors of 58614 and 58626 and find the biggest common factor number .

Step-1: Prime Factorization of 58614

Prime factors of 58614 are 2, 3, 9769. Prime factorization of 58614 in exponential form is:

58614 = 2¹ × 3¹ × 9769¹

Step-2: Prime Factorization of 58626

Prime factors of 58626 are 2, 3, 3257. Prime factorization of 58626 in exponential form is:

58626 = 2¹ × 3² × 3257¹

Step-3: Factors of 58614

List of positive integer factors of 58614 that divides 58614 without a remainder.

1, 2, 3, 6, 9769, 19538, 29307

Step-4: Factors of 58626

List of positive integer factors of 58626 that divides 58614 without a remainder.

1, 2, 3, 6, 9, 18, 3257, 6514, 9771, 19542, 29313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58614 and 58626. The biggest common factor number is the GCF number.
So the greatest common factor 58614 and 58626 is 6.

Also check out the Least Common Multiple of 58614 and 58626