What is the Greatest Common Factor of 27248 and 27261?

Greatest common factor (GCF) of 27248 and 27261 is 13.

GCF(27248,27261) = 13

We will now calculate the prime factors of 27248 and 27261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27248 and 27261.

How to find the GCF of 27248 and 27261?

We will first find the prime factorization of 27248 and 27261. After we will calculate the factors of 27248 and 27261 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27261

Prime factors of 27261 are 3, 13, 233. Prime factorization of 27261 in exponential form is:

27261 = 3² × 13¹ × 233¹

Step-3: Factors of 27248

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

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

Step-4: Factors of 27261

List of positive integer factors of 27261 that divides 27248 without a remainder.

1, 3, 9, 13, 39, 117, 233, 699, 2097, 3029, 9087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27248 and 27261. The biggest common factor number is the GCF number.
So the greatest common factor 27248 and 27261 is 13.

Also check out the Least Common Multiple of 27248 and 27261