What is the Greatest Common Factor of 59718 and 59733?

Greatest common factor (GCF) of 59718 and 59733 is 3.

GCF(59718,59733) = 3

We will now calculate the prime factors of 59718 and 59733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59718 and 59733.

How to find the GCF of 59718 and 59733?

We will first find the prime factorization of 59718 and 59733. After we will calculate the factors of 59718 and 59733 and find the biggest common factor number .

Step-1: Prime Factorization of 59718

Prime factors of 59718 are 2, 3, 37, 269. Prime factorization of 59718 in exponential form is:

59718 = 2¹ × 3¹ × 37¹ × 269¹

Step-2: Prime Factorization of 59733

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

59733 = 3² × 6637¹

Step-3: Factors of 59718

List of positive integer factors of 59718 that divides 59718 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 269, 538, 807, 1614, 9953, 19906, 29859

Step-4: Factors of 59733

List of positive integer factors of 59733 that divides 59718 without a remainder.

1, 3, 9, 6637, 19911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59718 and 59733. The biggest common factor number is the GCF number.
So the greatest common factor 59718 and 59733 is 3.

Also check out the Least Common Multiple of 59718 and 59733