What is the Greatest Common Factor of 59706 and 59718?

Greatest common factor (GCF) of 59706 and 59718 is 6.

GCF(59706,59718) = 6

We will now calculate the prime factors of 59706 and 59718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59706 and 59718.

How to find the GCF of 59706 and 59718?

We will first find the prime factorization of 59706 and 59718. After we will calculate the factors of 59706 and 59718 and find the biggest common factor number .

Step-1: Prime Factorization of 59706

Prime factors of 59706 are 2, 3, 31, 107. Prime factorization of 59706 in exponential form is:

59706 = 2¹ × 3² × 31¹ × 107¹

Step-2: 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-3: Factors of 59706

List of positive integer factors of 59706 that divides 59706 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 107, 186, 214, 279, 321, 558, 642, 963, 1926, 3317, 6634, 9951, 19902, 29853

Step-4: Factors of 59718

List of positive integer factors of 59718 that divides 59706 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59706 and 59718. The biggest common factor number is the GCF number.
So the greatest common factor 59706 and 59718 is 6.

Also check out the Least Common Multiple of 59706 and 59718