What is the Greatest Common Factor of 73830 and 73846?

Greatest common factor (GCF) of 73830 and 73846 is 2.

GCF(73830,73846) = 2

We will now calculate the prime factors of 73830 and 73846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73830 and 73846.

How to find the GCF of 73830 and 73846?

We will first find the prime factorization of 73830 and 73846. After we will calculate the factors of 73830 and 73846 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 73846

Prime factors of 73846 are 2, 36923. Prime factorization of 73846 in exponential form is:

73846 = 2¹ × 36923¹

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 73846

List of positive integer factors of 73846 that divides 73830 without a remainder.

1, 2, 36923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73830 and 73846. The biggest common factor number is the GCF number.
So the greatest common factor 73830 and 73846 is 2.

Also check out the Least Common Multiple of 73830 and 73846