What is the Greatest Common Factor of 5724 and 5736?

Greatest common factor (GCF) of 5724 and 5736 is 12.

GCF(5724,5736) = 12

We will now calculate the prime factors of 5724 and 5736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5724 and 5736.

How to find the GCF of 5724 and 5736?

We will first find the prime factorization of 5724 and 5736. After we will calculate the factors of 5724 and 5736 and find the biggest common factor number .

Step-1: Prime Factorization of 5724

Prime factors of 5724 are 2, 3, 53. Prime factorization of 5724 in exponential form is:

5724 = 2² × 3³ × 53¹

Step-2: Prime Factorization of 5736

Prime factors of 5736 are 2, 3, 239. Prime factorization of 5736 in exponential form is:

5736 = 2³ × 3¹ × 239¹

Step-3: Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862

Step-4: Factors of 5736

List of positive integer factors of 5736 that divides 5724 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5724 and 5736. The biggest common factor number is the GCF number.
So the greatest common factor 5724 and 5736 is 12.

Also check out the Least Common Multiple of 5724 and 5736