What is the Greatest Common Factor of 73836 and 73843?

Greatest common factor (GCF) of 73836 and 73843 is 7.

GCF(73836,73843) = 7

We will now calculate the prime factors of 73836 and 73843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73836 and 73843.

How to find the GCF of 73836 and 73843?

We will first find the prime factorization of 73836 and 73843. After we will calculate the factors of 73836 and 73843 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 73843

Prime factors of 73843 are 7, 11, 137. Prime factorization of 73843 in exponential form is:

73843 = 7² × 11¹ × 137¹

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 73843

List of positive integer factors of 73843 that divides 73836 without a remainder.

1, 7, 11, 49, 77, 137, 539, 959, 1507, 6713, 10549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73836 and 73843. The biggest common factor number is the GCF number.
So the greatest common factor 73836 and 73843 is 7.

Also check out the Least Common Multiple of 73836 and 73843