What is the Greatest Common Factor of 11280 and 11290?

Greatest common factor (GCF) of 11280 and 11290 is 10.

GCF(11280,11290) = 10

We will now calculate the prime factors of 11280 and 11290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11280 and 11290.

How to find the GCF of 11280 and 11290?

We will first find the prime factorization of 11280 and 11290. After we will calculate the factors of 11280 and 11290 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 11290

Prime factors of 11290 are 2, 5, 1129. Prime factorization of 11290 in exponential form is:

11290 = 2¹ × 5¹ × 1129¹

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 11290

List of positive integer factors of 11290 that divides 11280 without a remainder.

1, 2, 5, 10, 1129, 2258, 5645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11280 and 11290. The biggest common factor number is the GCF number.
So the greatest common factor 11280 and 11290 is 10.

Also check out the Least Common Multiple of 11280 and 11290