What is the Greatest Common Factor of 73830 and 73836?

Greatest common factor (GCF) of 73830 and 73836 is 6.

GCF(73830,73836) = 6

We will now calculate the prime factors of 73830 and 73836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73830 and 73836.

How to find the GCF of 73830 and 73836?

We will first find the prime factorization of 73830 and 73836. After we will calculate the factors of 73830 and 73836 and find the biggest common factor number .

Step-1: Prime Factorization of 73830

Prime factors of 73830 are 2, 3, 5, 23, 107. Prime factorization of 73830 in exponential form is:

73830 = 2¹ × 3¹ × 5¹ × 23¹ × 107¹

Step-2: 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-3: Factors of 73830

List of positive integer factors of 73830 that divides 73830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 107, 115, 138, 214, 230, 321, 345, 535, 642, 690, 1070, 1605, 2461, 3210, 4922, 7383, 12305, 14766, 24610, 36915

Step-4: Factors of 73836

List of positive integer factors of 73836 that divides 73830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73830 and 73836. The biggest common factor number is the GCF number.
So the greatest common factor 73830 and 73836 is 6.

Also check out the Least Common Multiple of 73830 and 73836