What is the Greatest Common Factor of 40608 and 40623?

Greatest common factor (GCF) of 40608 and 40623 is 3.

GCF(40608,40623) = 3

We will now calculate the prime factors of 40608 and 40623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40608 and 40623.

How to find the GCF of 40608 and 40623?

We will first find the prime factorization of 40608 and 40623. After we will calculate the factors of 40608 and 40623 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40623

Prime factors of 40623 are 3, 11, 1231. Prime factorization of 40623 in exponential form is:

40623 = 3¹ × 11¹ × 1231¹

Step-3: Factors of 40608

List of positive integer factors of 40608 that divides 40608 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

Step-4: Factors of 40623

List of positive integer factors of 40623 that divides 40608 without a remainder.

1, 3, 11, 33, 1231, 3693, 13541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40608 and 40623. The biggest common factor number is the GCF number.
So the greatest common factor 40608 and 40623 is 3.

Also check out the Least Common Multiple of 40608 and 40623