What is the Greatest Common Factor of 58617 and 58629?

Greatest common factor (GCF) of 58617 and 58629 is 3.

GCF(58617,58629) = 3

We will now calculate the prime factors of 58617 and 58629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58617 and 58629.

How to find the GCF of 58617 and 58629?

We will first find the prime factorization of 58617 and 58629. After we will calculate the factors of 58617 and 58629 and find the biggest common factor number .

Step-1: Prime Factorization of 58617

Prime factors of 58617 are 3, 13, 167. Prime factorization of 58617 in exponential form is:

58617 = 3³ × 13¹ × 167¹

Step-2: Prime Factorization of 58629

Prime factors of 58629 are 3, 19543. Prime factorization of 58629 in exponential form is:

58629 = 3¹ × 19543¹

Step-3: Factors of 58617

List of positive integer factors of 58617 that divides 58617 without a remainder.

1, 3, 9, 13, 27, 39, 117, 167, 351, 501, 1503, 2171, 4509, 6513, 19539

Step-4: Factors of 58629

List of positive integer factors of 58629 that divides 58617 without a remainder.

1, 3, 19543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58617 and 58629. The biggest common factor number is the GCF number.
So the greatest common factor 58617 and 58629 is 3.

Also check out the Least Common Multiple of 58617 and 58629