What is the Greatest Common Factor of 11312 and 11320?

Greatest common factor (GCF) of 11312 and 11320 is 8.

GCF(11312,11320) = 8

We will now calculate the prime factors of 11312 and 11320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11312 and 11320.

How to find the GCF of 11312 and 11320?

We will first find the prime factorization of 11312 and 11320. After we will calculate the factors of 11312 and 11320 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 11320

Prime factors of 11320 are 2, 5, 283. Prime factorization of 11320 in exponential form is:

11320 = 2³ × 5¹ × 283¹

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 11320

List of positive integer factors of 11320 that divides 11312 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 283, 566, 1132, 1415, 2264, 2830, 5660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11312 and 11320. The biggest common factor number is the GCF number.
So the greatest common factor 11312 and 11320 is 8.

Also check out the Least Common Multiple of 11312 and 11320