What is the Greatest Common Factor of 11924 and 11935?

Greatest common factor (GCF) of 11924 and 11935 is 11.

GCF(11924,11935) = 11

We will now calculate the prime factors of 11924 and 11935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11924 and 11935.

How to find the GCF of 11924 and 11935?

We will first find the prime factorization of 11924 and 11935. After we will calculate the factors of 11924 and 11935 and find the biggest common factor number .

Step-1: Prime Factorization of 11924

Prime factors of 11924 are 2, 11, 271. Prime factorization of 11924 in exponential form is:

11924 = 2² × 11¹ × 271¹

Step-2: Prime Factorization of 11935

Prime factors of 11935 are 5, 7, 11, 31. Prime factorization of 11935 in exponential form is:

11935 = 5¹ × 7¹ × 11¹ × 31¹

Step-3: Factors of 11924

List of positive integer factors of 11924 that divides 11924 without a remainder.

1, 2, 4, 11, 22, 44, 271, 542, 1084, 2981, 5962

Step-4: Factors of 11935

List of positive integer factors of 11935 that divides 11924 without a remainder.

1, 5, 7, 11, 31, 35, 55, 77, 155, 217, 341, 385, 1085, 1705, 2387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11924 and 11935. The biggest common factor number is the GCF number.
So the greatest common factor 11924 and 11935 is 11.

Also check out the Least Common Multiple of 11924 and 11935