What is the Greatest Common Factor of 11270 and 11284?

Greatest common factor (GCF) of 11270 and 11284 is 14.

GCF(11270,11284) = 14

We will now calculate the prime factors of 11270 and 11284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11270 and 11284.

How to find the GCF of 11270 and 11284?

We will first find the prime factorization of 11270 and 11284. After we will calculate the factors of 11270 and 11284 and find the biggest common factor number .

Step-1: Prime Factorization of 11270

Prime factors of 11270 are 2, 5, 7, 23. Prime factorization of 11270 in exponential form is:

11270 = 2¹ × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 11284

Prime factors of 11284 are 2, 7, 13, 31. Prime factorization of 11284 in exponential form is:

11284 = 2² × 7¹ × 13¹ × 31¹

Step-3: Factors of 11270

List of positive integer factors of 11270 that divides 11270 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 49, 70, 98, 115, 161, 230, 245, 322, 490, 805, 1127, 1610, 2254, 5635

Step-4: Factors of 11284

List of positive integer factors of 11284 that divides 11270 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 31, 52, 62, 91, 124, 182, 217, 364, 403, 434, 806, 868, 1612, 2821, 5642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11270 and 11284. The biggest common factor number is the GCF number.
So the greatest common factor 11270 and 11284 is 14.

Also check out the Least Common Multiple of 11270 and 11284