What is the Greatest Common Factor of 11360 and 11378?

Greatest common factor (GCF) of 11360 and 11378 is 2.

GCF(11360,11378) = 2

We will now calculate the prime factors of 11360 and 11378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11360 and 11378.

How to find the GCF of 11360 and 11378?

We will first find the prime factorization of 11360 and 11378. After we will calculate the factors of 11360 and 11378 and find the biggest common factor number .

Step-1: Prime Factorization of 11360

Prime factors of 11360 are 2, 5, 71. Prime factorization of 11360 in exponential form is:

11360 = 2⁵ × 5¹ × 71¹

Step-2: Prime Factorization of 11378

Prime factors of 11378 are 2, 5689. Prime factorization of 11378 in exponential form is:

11378 = 2¹ × 5689¹

Step-3: Factors of 11360

List of positive integer factors of 11360 that divides 11360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 71, 80, 142, 160, 284, 355, 568, 710, 1136, 1420, 2272, 2840, 5680

Step-4: Factors of 11378

List of positive integer factors of 11378 that divides 11360 without a remainder.

1, 2, 5689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11360 and 11378. The biggest common factor number is the GCF number.
So the greatest common factor 11360 and 11378 is 2.

Also check out the Least Common Multiple of 11360 and 11378