What is the Greatest Common Factor of 58746 and 58761?

Greatest common factor (GCF) of 58746 and 58761 is 3.

GCF(58746,58761) = 3

We will now calculate the prime factors of 58746 and 58761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58746 and 58761.

How to find the GCF of 58746 and 58761?

We will first find the prime factorization of 58746 and 58761. After we will calculate the factors of 58746 and 58761 and find the biggest common factor number .

Step-1: Prime Factorization of 58746

Prime factors of 58746 are 2, 3, 9791. Prime factorization of 58746 in exponential form is:

58746 = 2¹ × 3¹ × 9791¹

Step-2: Prime Factorization of 58761

Prime factors of 58761 are 3, 6529. Prime factorization of 58761 in exponential form is:

58761 = 3² × 6529¹

Step-3: Factors of 58746

List of positive integer factors of 58746 that divides 58746 without a remainder.

1, 2, 3, 6, 9791, 19582, 29373

Step-4: Factors of 58761

List of positive integer factors of 58761 that divides 58746 without a remainder.

1, 3, 9, 6529, 19587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58746 and 58761. The biggest common factor number is the GCF number.
So the greatest common factor 58746 and 58761 is 3.

Also check out the Least Common Multiple of 58746 and 58761