What is the Greatest Common Factor of 11240 and 11258?

Greatest common factor (GCF) of 11240 and 11258 is 2.

GCF(11240,11258) = 2

We will now calculate the prime factors of 11240 and 11258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11240 and 11258.

How to find the GCF of 11240 and 11258?

We will first find the prime factorization of 11240 and 11258. After we will calculate the factors of 11240 and 11258 and find the biggest common factor number .

Step-1: Prime Factorization of 11240

Prime factors of 11240 are 2, 5, 281. Prime factorization of 11240 in exponential form is:

11240 = 2³ × 5¹ × 281¹

Step-2: Prime Factorization of 11258

Prime factors of 11258 are 2, 13, 433. Prime factorization of 11258 in exponential form is:

11258 = 2¹ × 13¹ × 433¹

Step-3: Factors of 11240

List of positive integer factors of 11240 that divides 11240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 281, 562, 1124, 1405, 2248, 2810, 5620

Step-4: Factors of 11258

List of positive integer factors of 11258 that divides 11240 without a remainder.

1, 2, 13, 26, 433, 866, 5629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11240 and 11258. The biggest common factor number is the GCF number.
So the greatest common factor 11240 and 11258 is 2.

Also check out the Least Common Multiple of 11240 and 11258