What is the Greatest Common Factor of 11363 and 11374?

Greatest common factor (GCF) of 11363 and 11374 is 11.

GCF(11363,11374) = 11

We will now calculate the prime factors of 11363 and 11374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11363 and 11374.

How to find the GCF of 11363 and 11374?

We will first find the prime factorization of 11363 and 11374. After we will calculate the factors of 11363 and 11374 and find the biggest common factor number .

Step-1: Prime Factorization of 11363

Prime factors of 11363 are 11, 1033. Prime factorization of 11363 in exponential form is:

11363 = 11¹ × 1033¹

Step-2: Prime Factorization of 11374

Prime factors of 11374 are 2, 11, 47. Prime factorization of 11374 in exponential form is:

11374 = 2¹ × 11² × 47¹

Step-3: Factors of 11363

List of positive integer factors of 11363 that divides 11363 without a remainder.

1, 11, 1033

Step-4: Factors of 11374

List of positive integer factors of 11374 that divides 11363 without a remainder.

1, 2, 11, 22, 47, 94, 121, 242, 517, 1034, 5687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11363 and 11374. The biggest common factor number is the GCF number.
So the greatest common factor 11363 and 11374 is 11.

Also check out the Least Common Multiple of 11363 and 11374