What is the Greatest Common Factor of 11312 and 11318?

Greatest common factor (GCF) of 11312 and 11318 is 2.

GCF(11312,11318) = 2

We will now calculate the prime factors of 11312 and 11318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11312 and 11318.

How to find the GCF of 11312 and 11318?

We will first find the prime factorization of 11312 and 11318. After we will calculate the factors of 11312 and 11318 and find the biggest common factor number .

Step-1: Prime Factorization of 11312

Prime factors of 11312 are 2, 7, 101. Prime factorization of 11312 in exponential form is:

11312 = 2⁴ × 7¹ × 101¹

Step-2: Prime Factorization of 11318

Prime factors of 11318 are 2, 5659. Prime factorization of 11318 in exponential form is:

11318 = 2¹ × 5659¹

Step-3: Factors of 11312

List of positive integer factors of 11312 that divides 11312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 101, 112, 202, 404, 707, 808, 1414, 1616, 2828, 5656

Step-4: Factors of 11318

List of positive integer factors of 11318 that divides 11312 without a remainder.

1, 2, 5659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11312 and 11318. The biggest common factor number is the GCF number.
So the greatest common factor 11312 and 11318 is 2.

Also check out the Least Common Multiple of 11312 and 11318