What is the Greatest Common Factor of 27232 and 27248?

Greatest common factor (GCF) of 27232 and 27248 is 16.

GCF(27232,27248) = 16

We will now calculate the prime factors of 27232 and 27248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27232 and 27248.

How to find the GCF of 27232 and 27248?

We will first find the prime factorization of 27232 and 27248. After we will calculate the factors of 27232 and 27248 and find the biggest common factor number .

Step-1: Prime Factorization of 27232

Prime factors of 27232 are 2, 23, 37. Prime factorization of 27232 in exponential form is:

27232 = 2⁵ × 23¹ × 37¹

Step-2: Prime Factorization of 27248

Prime factors of 27248 are 2, 13, 131. Prime factorization of 27248 in exponential form is:

27248 = 2⁴ × 13¹ × 131¹

Step-3: Factors of 27232

List of positive integer factors of 27232 that divides 27232 without a remainder.

1, 2, 4, 8, 16, 23, 32, 37, 46, 74, 92, 148, 184, 296, 368, 592, 736, 851, 1184, 1702, 3404, 6808, 13616

Step-4: Factors of 27248

List of positive integer factors of 27248 that divides 27232 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 131, 208, 262, 524, 1048, 1703, 2096, 3406, 6812, 13624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27232 and 27248. The biggest common factor number is the GCF number.
So the greatest common factor 27232 and 27248 is 16.

Also check out the Least Common Multiple of 27232 and 27248