What is the Greatest Common Factor of 73836 and 73851?

Greatest common factor (GCF) of 73836 and 73851 is 3.

GCF(73836,73851) = 3

We will now calculate the prime factors of 73836 and 73851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73836 and 73851.

How to find the GCF of 73836 and 73851?

We will first find the prime factorization of 73836 and 73851. After we will calculate the factors of 73836 and 73851 and find the biggest common factor number .

Step-1: Prime Factorization of 73836

Prime factors of 73836 are 2, 3, 7, 293. Prime factorization of 73836 in exponential form is:

73836 = 2² × 3² × 7¹ × 293¹

Step-2: Prime Factorization of 73851

Prime factors of 73851 are 3, 103, 239. Prime factorization of 73851 in exponential form is:

73851 = 3¹ × 103¹ × 239¹

Step-3: Factors of 73836

List of positive integer factors of 73836 that divides 73836 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 293, 586, 879, 1172, 1758, 2051, 2637, 3516, 4102, 5274, 6153, 8204, 10548, 12306, 18459, 24612, 36918

Step-4: Factors of 73851

List of positive integer factors of 73851 that divides 73836 without a remainder.

1, 3, 103, 239, 309, 717, 24617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73836 and 73851. The biggest common factor number is the GCF number.
So the greatest common factor 73836 and 73851 is 3.

Also check out the Least Common Multiple of 73836 and 73851