What is the Greatest Common Factor of 11382 and 11402?

Greatest common factor (GCF) of 11382 and 11402 is 2.

GCF(11382,11402) = 2

We will now calculate the prime factors of 11382 and 11402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11382 and 11402.

How to find the GCF of 11382 and 11402?

We will first find the prime factorization of 11382 and 11402. After we will calculate the factors of 11382 and 11402 and find the biggest common factor number .

Step-1: Prime Factorization of 11382

Prime factors of 11382 are 2, 3, 7, 271. Prime factorization of 11382 in exponential form is:

11382 = 2¹ × 3¹ × 7¹ × 271¹

Step-2: Prime Factorization of 11402

Prime factors of 11402 are 2, 5701. Prime factorization of 11402 in exponential form is:

11402 = 2¹ × 5701¹

Step-3: Factors of 11382

List of positive integer factors of 11382 that divides 11382 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 271, 542, 813, 1626, 1897, 3794, 5691

Step-4: Factors of 11402

List of positive integer factors of 11402 that divides 11382 without a remainder.

1, 2, 5701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11382 and 11402. The biggest common factor number is the GCF number.
So the greatest common factor 11382 and 11402 is 2.

Also check out the Least Common Multiple of 11382 and 11402