What is the Greatest Common Factor of 59796 and 59811?

Greatest common factor (GCF) of 59796 and 59811 is 3.

GCF(59796,59811) = 3

We will now calculate the prime factors of 59796 and 59811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59796 and 59811.

How to find the GCF of 59796 and 59811?

We will first find the prime factorization of 59796 and 59811. After we will calculate the factors of 59796 and 59811 and find the biggest common factor number .

Step-1: Prime Factorization of 59796

Prime factors of 59796 are 2, 3, 11, 151. Prime factorization of 59796 in exponential form is:

59796 = 2² × 3² × 11¹ × 151¹

Step-2: Prime Factorization of 59811

Prime factors of 59811 are 3, 19937. Prime factorization of 59811 in exponential form is:

59811 = 3¹ × 19937¹

Step-3: Factors of 59796

List of positive integer factors of 59796 that divides 59796 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 151, 198, 302, 396, 453, 604, 906, 1359, 1661, 1812, 2718, 3322, 4983, 5436, 6644, 9966, 14949, 19932, 29898

Step-4: Factors of 59811

List of positive integer factors of 59811 that divides 59796 without a remainder.

1, 3, 19937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59796 and 59811. The biggest common factor number is the GCF number.
So the greatest common factor 59796 and 59811 is 3.

Also check out the Least Common Multiple of 59796 and 59811