What is the Greatest Common Factor of 11360 and 11364?

Greatest common factor (GCF) of 11360 and 11364 is 4.

GCF(11360,11364) = 4

We will now calculate the prime factors of 11360 and 11364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11360 and 11364.

How to find the GCF of 11360 and 11364?

We will first find the prime factorization of 11360 and 11364. After we will calculate the factors of 11360 and 11364 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 11364

Prime factors of 11364 are 2, 3, 947. Prime factorization of 11364 in exponential form is:

11364 = 2² × 3¹ × 947¹

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 11364

List of positive integer factors of 11364 that divides 11360 without a remainder.

1, 2, 3, 4, 6, 12, 947, 1894, 2841, 3788, 5682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11360 and 11364. The biggest common factor number is the GCF number.
So the greatest common factor 11360 and 11364 is 4.

Also check out the Least Common Multiple of 11360 and 11364