What is the Greatest Common Factor of 11704 and 11722?

Greatest common factor (GCF) of 11704 and 11722 is 2.

GCF(11704,11722) = 2

We will now calculate the prime factors of 11704 and 11722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11704 and 11722.

How to find the GCF of 11704 and 11722?

We will first find the prime factorization of 11704 and 11722. After we will calculate the factors of 11704 and 11722 and find the biggest common factor number .

Step-1: Prime Factorization of 11704

Prime factors of 11704 are 2, 7, 11, 19. Prime factorization of 11704 in exponential form is:

11704 = 2³ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 11722

Prime factors of 11722 are 2, 5861. Prime factorization of 11722 in exponential form is:

11722 = 2¹ × 5861¹

Step-3: Factors of 11704

List of positive integer factors of 11704 that divides 11704 without a remainder.

1, 2, 4, 7, 8, 11, 14, 19, 22, 28, 38, 44, 56, 76, 77, 88, 133, 152, 154, 209, 266, 308, 418, 532, 616, 836, 1064, 1463, 1672, 2926, 5852

Step-4: Factors of 11722

List of positive integer factors of 11722 that divides 11704 without a remainder.

1, 2, 5861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11704 and 11722. The biggest common factor number is the GCF number.
So the greatest common factor 11704 and 11722 is 2.

Also check out the Least Common Multiple of 11704 and 11722