What is the Greatest Common Factor of 29472 and 29483?

Greatest common factor (GCF) of 29472 and 29483 is 1.

GCF(29472,29483) = 1

We will now calculate the prime factors of 29472 and 29483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29472 and 29483.

How to find the GCF of 29472 and 29483?

We will first find the prime factorization of 29472 and 29483. After we will calculate the factors of 29472 and 29483 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 29483

Prime factors of 29483 are 29483. Prime factorization of 29483 in exponential form is:

29483 = 29483¹

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 29483

List of positive integer factors of 29483 that divides 29472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29472 and 29483. The biggest common factor number is the GCF number.
So the greatest common factor 29472 and 29483 is 1.

Also check out the Least Common Multiple of 29472 and 29483