What is the Greatest Common Factor of 40296 and 40305?

Greatest common factor (GCF) of 40296 and 40305 is 3.

GCF(40296,40305) = 3

We will now calculate the prime factors of 40296 and 40305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40296 and 40305.

How to find the GCF of 40296 and 40305?

We will first find the prime factorization of 40296 and 40305. After we will calculate the factors of 40296 and 40305 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 40305

Prime factors of 40305 are 3, 5, 2687. Prime factorization of 40305 in exponential form is:

40305 = 3¹ × 5¹ × 2687¹

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 40305

List of positive integer factors of 40305 that divides 40296 without a remainder.

1, 3, 5, 15, 2687, 8061, 13435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40296 and 40305. The biggest common factor number is the GCF number.
So the greatest common factor 40296 and 40305 is 3.

Also check out the Least Common Multiple of 40296 and 40305