What is the Greatest Common Factor of 59733 and 59748?

Greatest common factor (GCF) of 59733 and 59748 is 3.

GCF(59733,59748) = 3

We will now calculate the prime factors of 59733 and 59748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59733 and 59748.

How to find the GCF of 59733 and 59748?

We will first find the prime factorization of 59733 and 59748. After we will calculate the factors of 59733 and 59748 and find the biggest common factor number .

Step-1: Prime Factorization of 59733

Prime factors of 59733 are 3, 6637. Prime factorization of 59733 in exponential form is:

59733 = 3² × 6637¹

Step-2: Prime Factorization of 59748

Prime factors of 59748 are 2, 3, 13, 383. Prime factorization of 59748 in exponential form is:

59748 = 2² × 3¹ × 13¹ × 383¹

Step-3: Factors of 59733

List of positive integer factors of 59733 that divides 59733 without a remainder.

1, 3, 9, 6637, 19911

Step-4: Factors of 59748

List of positive integer factors of 59748 that divides 59733 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 383, 766, 1149, 1532, 2298, 4596, 4979, 9958, 14937, 19916, 29874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59733 and 59748. The biggest common factor number is the GCF number.
So the greatest common factor 59733 and 59748 is 3.

Also check out the Least Common Multiple of 59733 and 59748