What is the Greatest Common Factor of 40596 and 40608?

Greatest common factor (GCF) of 40596 and 40608 is 12.

GCF(40596,40608) = 12

We will now calculate the prime factors of 40596 and 40608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40596 and 40608.

How to find the GCF of 40596 and 40608?

We will first find the prime factorization of 40596 and 40608. After we will calculate the factors of 40596 and 40608 and find the biggest common factor number .

Step-1: Prime Factorization of 40596

Prime factors of 40596 are 2, 3, 17, 199. Prime factorization of 40596 in exponential form is:

40596 = 2² × 3¹ × 17¹ × 199¹

Step-2: Prime Factorization of 40608

Prime factors of 40608 are 2, 3, 47. Prime factorization of 40608 in exponential form is:

40608 = 2⁵ × 3³ × 47¹

Step-3: Factors of 40596

List of positive integer factors of 40596 that divides 40596 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 199, 204, 398, 597, 796, 1194, 2388, 3383, 6766, 10149, 13532, 20298

Step-4: Factors of 40608

List of positive integer factors of 40608 that divides 40596 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 47, 48, 54, 72, 94, 96, 108, 141, 144, 188, 216, 282, 288, 376, 423, 432, 564, 752, 846, 864, 1128, 1269, 1504, 1692, 2256, 2538, 3384, 4512, 5076, 6768, 10152, 13536, 20304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40596 and 40608. The biggest common factor number is the GCF number.
So the greatest common factor 40596 and 40608 is 12.

Also check out the Least Common Multiple of 40596 and 40608