What is the Greatest Common Factor of 40296 and 40314?

Greatest common factor (GCF) of 40296 and 40314 is 6.

GCF(40296,40314) = 6

We will now calculate the prime factors of 40296 and 40314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40296 and 40314.

How to find the GCF of 40296 and 40314?

We will first find the prime factorization of 40296 and 40314. After we will calculate the factors of 40296 and 40314 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40314

Prime factors of 40314 are 2, 3, 6719. Prime factorization of 40314 in exponential form is:

40314 = 2¹ × 3¹ × 6719¹

Step-3: Factors of 40296

List of positive integer factors of 40296 that divides 40296 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

Step-4: Factors of 40314

List of positive integer factors of 40314 that divides 40296 without a remainder.

1, 2, 3, 6, 6719, 13438, 20157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40296 and 40314. The biggest common factor number is the GCF number.
So the greatest common factor 40296 and 40314 is 6.

Also check out the Least Common Multiple of 40296 and 40314