What is the Greatest Common Factor of 58734 and 58749?

Greatest common factor (GCF) of 58734 and 58749 is 3.

GCF(58734,58749) = 3

We will now calculate the prime factors of 58734 and 58749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58734 and 58749.

How to find the GCF of 58734 and 58749?

We will first find the prime factorization of 58734 and 58749. After we will calculate the factors of 58734 and 58749 and find the biggest common factor number .

Step-1: Prime Factorization of 58734

Prime factors of 58734 are 2, 3, 13, 251. Prime factorization of 58734 in exponential form is:

58734 = 2¹ × 3² × 13¹ × 251¹

Step-2: Prime Factorization of 58749

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

58749 = 3¹ × 19583¹

Step-3: Factors of 58734

List of positive integer factors of 58734 that divides 58734 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 251, 502, 753, 1506, 2259, 3263, 4518, 6526, 9789, 19578, 29367

Step-4: Factors of 58749

List of positive integer factors of 58749 that divides 58734 without a remainder.

1, 3, 19583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58734 and 58749. The biggest common factor number is the GCF number.
So the greatest common factor 58734 and 58749 is 3.

Also check out the Least Common Multiple of 58734 and 58749