What is the Greatest Common Factor of 11280 and 11291?

Greatest common factor (GCF) of 11280 and 11291 is 1.

GCF(11280,11291) = 1

We will now calculate the prime factors of 11280 and 11291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11280 and 11291.

How to find the GCF of 11280 and 11291?

We will first find the prime factorization of 11280 and 11291. After we will calculate the factors of 11280 and 11291 and find the biggest common factor number .

Step-1: Prime Factorization of 11280

Prime factors of 11280 are 2, 3, 5, 47. Prime factorization of 11280 in exponential form is:

11280 = 2⁴ × 3¹ × 5¹ × 47¹

Step-2: Prime Factorization of 11291

Prime factors of 11291 are 7, 1613. Prime factorization of 11291 in exponential form is:

11291 = 7¹ × 1613¹

Step-3: Factors of 11280

List of positive integer factors of 11280 that divides 11280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 47, 48, 60, 80, 94, 120, 141, 188, 235, 240, 282, 376, 470, 564, 705, 752, 940, 1128, 1410, 1880, 2256, 2820, 3760, 5640

Step-4: Factors of 11291

List of positive integer factors of 11291 that divides 11280 without a remainder.

1, 7, 1613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11280 and 11291. The biggest common factor number is the GCF number.
So the greatest common factor 11280 and 11291 is 1.

Also check out the Least Common Multiple of 11280 and 11291