What is the Greatest Common Factor of 40284 and 40304?

Greatest common factor (GCF) of 40284 and 40304 is 4.

GCF(40284,40304) = 4

We will now calculate the prime factors of 40284 and 40304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40284 and 40304.

How to find the GCF of 40284 and 40304?

We will first find the prime factorization of 40284 and 40304. After we will calculate the factors of 40284 and 40304 and find the biggest common factor number .

Step-1: Prime Factorization of 40284

Prime factors of 40284 are 2, 3, 373. Prime factorization of 40284 in exponential form is:

40284 = 2² × 3³ × 373¹

Step-2: Prime Factorization of 40304

Prime factors of 40304 are 2, 11, 229. Prime factorization of 40304 in exponential form is:

40304 = 2⁴ × 11¹ × 229¹

Step-3: Factors of 40284

List of positive integer factors of 40284 that divides 40284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 373, 746, 1119, 1492, 2238, 3357, 4476, 6714, 10071, 13428, 20142

Step-4: Factors of 40304

List of positive integer factors of 40304 that divides 40284 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 229, 458, 916, 1832, 2519, 3664, 5038, 10076, 20152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40284 and 40304. The biggest common factor number is the GCF number.
So the greatest common factor 40284 and 40304 is 4.

Also check out the Least Common Multiple of 40284 and 40304