What is the Greatest Common Factor of 88449 and 88464?

Greatest common factor (GCF) of 88449 and 88464 is 3.

GCF(88449,88464) = 3

We will now calculate the prime factors of 88449 and 88464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88449 and 88464.

How to find the GCF of 88449 and 88464?

We will first find the prime factorization of 88449 and 88464. After we will calculate the factors of 88449 and 88464 and find the biggest common factor number .

Step-1: Prime Factorization of 88449

Prime factors of 88449 are 3, 29483. Prime factorization of 88449 in exponential form is:

88449 = 3¹ × 29483¹

Step-2: Prime Factorization of 88464

Prime factors of 88464 are 2, 3, 19, 97. Prime factorization of 88464 in exponential form is:

88464 = 2⁴ × 3¹ × 19¹ × 97¹

Step-3: Factors of 88449

List of positive integer factors of 88449 that divides 88449 without a remainder.

1, 3, 29483

Step-4: Factors of 88464

List of positive integer factors of 88464 that divides 88449 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 97, 114, 152, 194, 228, 291, 304, 388, 456, 582, 776, 912, 1164, 1552, 1843, 2328, 3686, 4656, 5529, 7372, 11058, 14744, 22116, 29488, 44232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88449 and 88464. The biggest common factor number is the GCF number.
So the greatest common factor 88449 and 88464 is 3.

Also check out the Least Common Multiple of 88449 and 88464