What is the Greatest Common Factor of 40608 and 40624?

Greatest common factor (GCF) of 40608 and 40624 is 16.

GCF(40608,40624) = 16

We will now calculate the prime factors of 40608 and 40624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40608 and 40624.

How to find the GCF of 40608 and 40624?

We will first find the prime factorization of 40608 and 40624. After we will calculate the factors of 40608 and 40624 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 40624

Prime factors of 40624 are 2, 2539. Prime factorization of 40624 in exponential form is:

40624 = 2⁴ × 2539¹

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 40624

List of positive integer factors of 40624 that divides 40608 without a remainder.

1, 2, 4, 8, 16, 2539, 5078, 10156, 20312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40608 and 40624. The biggest common factor number is the GCF number.
So the greatest common factor 40608 and 40624 is 16.

Also check out the Least Common Multiple of 40608 and 40624