What is the Greatest Common Factor of 40608 and 40626?

Greatest common factor (GCF) of 40608 and 40626 is 18.

GCF(40608,40626) = 18

We will now calculate the prime factors of 40608 and 40626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40608 and 40626.

How to find the GCF of 40608 and 40626?

We will first find the prime factorization of 40608 and 40626. After we will calculate the factors of 40608 and 40626 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 40626

Prime factors of 40626 are 2, 3, 37, 61. Prime factorization of 40626 in exponential form is:

40626 = 2¹ × 3² × 37¹ × 61¹

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 40626

List of positive integer factors of 40626 that divides 40608 without a remainder.

1, 2, 3, 6, 9, 18, 37, 61, 74, 111, 122, 183, 222, 333, 366, 549, 666, 1098, 2257, 4514, 6771, 13542, 20313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40608 and 40626. The biggest common factor number is the GCF number.
So the greatest common factor 40608 and 40626 is 18.

Also check out the Least Common Multiple of 40608 and 40626