What is the Greatest Common Factor of 40692 and 40704?

Greatest common factor (GCF) of 40692 and 40704 is 12.

GCF(40692,40704) = 12

We will now calculate the prime factors of 40692 and 40704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40692 and 40704.

How to find the GCF of 40692 and 40704?

We will first find the prime factorization of 40692 and 40704. After we will calculate the factors of 40692 and 40704 and find the biggest common factor number .

Step-1: Prime Factorization of 40692

Prime factors of 40692 are 2, 3, 3391. Prime factorization of 40692 in exponential form is:

40692 = 2² × 3¹ × 3391¹

Step-2: Prime Factorization of 40704

Prime factors of 40704 are 2, 3, 53. Prime factorization of 40704 in exponential form is:

40704 = 2⁸ × 3¹ × 53¹

Step-3: Factors of 40692

List of positive integer factors of 40692 that divides 40692 without a remainder.

1, 2, 3, 4, 6, 12, 3391, 6782, 10173, 13564, 20346

Step-4: Factors of 40704

List of positive integer factors of 40704 that divides 40692 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 256, 318, 384, 424, 636, 768, 848, 1272, 1696, 2544, 3392, 5088, 6784, 10176, 13568, 20352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40692 and 40704. The biggest common factor number is the GCF number.
So the greatest common factor 40692 and 40704 is 12.

Also check out the Least Common Multiple of 40692 and 40704