What is the Greatest Common Factor of 40284 and 40296?

Greatest common factor (GCF) of 40284 and 40296 is 12.

GCF(40284,40296) = 12

We will now calculate the prime factors of 40284 and 40296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40284 and 40296.

How to find the GCF of 40284 and 40296?

We will first find the prime factorization of 40284 and 40296. After we will calculate the factors of 40284 and 40296 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 40296

Prime factors of 40296 are 2, 3, 23, 73. Prime factorization of 40296 in exponential form is:

40296 = 2³ × 3¹ × 23¹ × 73¹

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 40296

List of positive integer factors of 40296 that divides 40284 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 73, 92, 138, 146, 184, 219, 276, 292, 438, 552, 584, 876, 1679, 1752, 3358, 5037, 6716, 10074, 13432, 20148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40284 and 40296. The biggest common factor number is the GCF number.
So the greatest common factor 40284 and 40296 is 12.

Also check out the Least Common Multiple of 40284 and 40296