What is the Greatest Common Factor of 58749 and 58755?

Greatest common factor (GCF) of 58749 and 58755 is 3.

GCF(58749,58755) = 3

We will now calculate the prime factors of 58749 and 58755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58749 and 58755.

How to find the GCF of 58749 and 58755?

We will first find the prime factorization of 58749 and 58755. After we will calculate the factors of 58749 and 58755 and find the biggest common factor number .

Step-1: Prime Factorization of 58749

Prime factors of 58749 are 3, 19583. Prime factorization of 58749 in exponential form is:

58749 = 3¹ × 19583¹

Step-2: Prime Factorization of 58755

Prime factors of 58755 are 3, 5, 3917. Prime factorization of 58755 in exponential form is:

58755 = 3¹ × 5¹ × 3917¹

Step-3: Factors of 58749

List of positive integer factors of 58749 that divides 58749 without a remainder.

1, 3, 19583

Step-4: Factors of 58755

List of positive integer factors of 58755 that divides 58749 without a remainder.

1, 3, 5, 15, 3917, 11751, 19585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58749 and 58755. The biggest common factor number is the GCF number.
So the greatest common factor 58749 and 58755 is 3.

Also check out the Least Common Multiple of 58749 and 58755