What is the Greatest Common Factor of 11396 and 11416?

Greatest common factor (GCF) of 11396 and 11416 is 4.

GCF(11396,11416) = 4

We will now calculate the prime factors of 11396 and 11416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11396 and 11416.

How to find the GCF of 11396 and 11416?

We will first find the prime factorization of 11396 and 11416. After we will calculate the factors of 11396 and 11416 and find the biggest common factor number .

Step-1: Prime Factorization of 11396

Prime factors of 11396 are 2, 7, 11, 37. Prime factorization of 11396 in exponential form is:

11396 = 2² × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 11416

Prime factors of 11416 are 2, 1427. Prime factorization of 11416 in exponential form is:

11416 = 2³ × 1427¹

Step-3: Factors of 11396

List of positive integer factors of 11396 that divides 11396 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 37, 44, 74, 77, 148, 154, 259, 308, 407, 518, 814, 1036, 1628, 2849, 5698

Step-4: Factors of 11416

List of positive integer factors of 11416 that divides 11396 without a remainder.

1, 2, 4, 8, 1427, 2854, 5708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11396 and 11416. The biggest common factor number is the GCF number.
So the greatest common factor 11396 and 11416 is 4.

Also check out the Least Common Multiple of 11396 and 11416