What is the Greatest Common Factor of 11362 and 11380?

Greatest common factor (GCF) of 11362 and 11380 is 2.

GCF(11362,11380) = 2

We will now calculate the prime factors of 11362 and 11380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11362 and 11380.

How to find the GCF of 11362 and 11380?

We will first find the prime factorization of 11362 and 11380. After we will calculate the factors of 11362 and 11380 and find the biggest common factor number .

Step-1: Prime Factorization of 11362

Prime factors of 11362 are 2, 13, 19, 23. Prime factorization of 11362 in exponential form is:

11362 = 2¹ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 11380

Prime factors of 11380 are 2, 5, 569. Prime factorization of 11380 in exponential form is:

11380 = 2² × 5¹ × 569¹

Step-3: Factors of 11362

List of positive integer factors of 11362 that divides 11362 without a remainder.

1, 2, 13, 19, 23, 26, 38, 46, 247, 299, 437, 494, 598, 874, 5681

Step-4: Factors of 11380

List of positive integer factors of 11380 that divides 11362 without a remainder.

1, 2, 4, 5, 10, 20, 569, 1138, 2276, 2845, 5690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11362 and 11380. The biggest common factor number is the GCF number.
So the greatest common factor 11362 and 11380 is 2.

Also check out the Least Common Multiple of 11362 and 11380