What is the Greatest Common Factor of 29472 and 29488?

Greatest common factor (GCF) of 29472 and 29488 is 16.

GCF(29472,29488) = 16

We will now calculate the prime factors of 29472 and 29488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29472 and 29488.

How to find the GCF of 29472 and 29488?

We will first find the prime factorization of 29472 and 29488. After we will calculate the factors of 29472 and 29488 and find the biggest common factor number .

Step-1: Prime Factorization of 29472

Prime factors of 29472 are 2, 3, 307. Prime factorization of 29472 in exponential form is:

29472 = 2⁵ × 3¹ × 307¹

Step-2: Prime Factorization of 29488

Prime factors of 29488 are 2, 19, 97. Prime factorization of 29488 in exponential form is:

29488 = 2⁴ × 19¹ × 97¹

Step-3: Factors of 29472

List of positive integer factors of 29472 that divides 29472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736

Step-4: Factors of 29488

List of positive integer factors of 29488 that divides 29472 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 97, 152, 194, 304, 388, 776, 1552, 1843, 3686, 7372, 14744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29472 and 29488. The biggest common factor number is the GCF number.
So the greatest common factor 29472 and 29488 is 16.

Also check out the Least Common Multiple of 29472 and 29488