What is the Greatest Common Factor of 11248 and 11267?

Greatest common factor (GCF) of 11248 and 11267 is 19.

GCF(11248,11267) = 19

We will now calculate the prime factors of 11248 and 11267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11248 and 11267.

How to find the GCF of 11248 and 11267?

We will first find the prime factorization of 11248 and 11267. After we will calculate the factors of 11248 and 11267 and find the biggest common factor number .

Step-1: Prime Factorization of 11248

Prime factors of 11248 are 2, 19, 37. Prime factorization of 11248 in exponential form is:

11248 = 2⁴ × 19¹ × 37¹

Step-2: Prime Factorization of 11267

Prime factors of 11267 are 19, 593. Prime factorization of 11267 in exponential form is:

11267 = 19¹ × 593¹

Step-3: Factors of 11248

List of positive integer factors of 11248 that divides 11248 without a remainder.

1, 2, 4, 8, 16, 19, 37, 38, 74, 76, 148, 152, 296, 304, 592, 703, 1406, 2812, 5624

Step-4: Factors of 11267

List of positive integer factors of 11267 that divides 11248 without a remainder.

1, 19, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11248 and 11267. The biggest common factor number is the GCF number.
So the greatest common factor 11248 and 11267 is 19.

Also check out the Least Common Multiple of 11248 and 11267