What is the Greatest Common Factor of 40296 and 40302?

Greatest common factor (GCF) of 40296 and 40302 is 6.

GCF(40296,40302) = 6

We will now calculate the prime factors of 40296 and 40302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40296 and 40302.

How to find the GCF of 40296 and 40302?

We will first find the prime factorization of 40296 and 40302. After we will calculate the factors of 40296 and 40302 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 40302

Prime factors of 40302 are 2, 3, 2239. Prime factorization of 40302 in exponential form is:

40302 = 2¹ × 3² × 2239¹

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 40302

List of positive integer factors of 40302 that divides 40296 without a remainder.

1, 2, 3, 6, 9, 18, 2239, 4478, 6717, 13434, 20151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40296 and 40302. The biggest common factor number is the GCF number.
So the greatest common factor 40296 and 40302 is 6.

Also check out the Least Common Multiple of 40296 and 40302