What is the Greatest Common Factor of 73836 and 73842?

Greatest common factor (GCF) of 73836 and 73842 is 6.

GCF(73836,73842) = 6

We will now calculate the prime factors of 73836 and 73842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73836 and 73842.

How to find the GCF of 73836 and 73842?

We will first find the prime factorization of 73836 and 73842. After we will calculate the factors of 73836 and 73842 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 73842

Prime factors of 73842 are 2, 3, 31, 397. Prime factorization of 73842 in exponential form is:

73842 = 2¹ × 3¹ × 31¹ × 397¹

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 73842

List of positive integer factors of 73842 that divides 73836 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 397, 794, 1191, 2382, 12307, 24614, 36921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73836 and 73842. The biggest common factor number is the GCF number.
So the greatest common factor 73836 and 73842 is 6.

Also check out the Least Common Multiple of 73836 and 73842