What is the Greatest Common Factor of 5772 and 5792?

Greatest common factor (GCF) of 5772 and 5792 is 4.

GCF(5772,5792) = 4

We will now calculate the prime factors of 5772 and 5792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5772 and 5792.

How to find the GCF of 5772 and 5792?

We will first find the prime factorization of 5772 and 5792. After we will calculate the factors of 5772 and 5792 and find the biggest common factor number .

Step-1: Prime Factorization of 5772

Prime factors of 5772 are 2, 3, 13, 37. Prime factorization of 5772 in exponential form is:

5772 = 2² × 3¹ × 13¹ × 37¹

Step-2: Prime Factorization of 5792

Prime factors of 5792 are 2, 181. Prime factorization of 5792 in exponential form is:

5792 = 2⁵ × 181¹

Step-3: Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886

Step-4: Factors of 5792

List of positive integer factors of 5792 that divides 5772 without a remainder.

1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5772 and 5792. The biggest common factor number is the GCF number.
So the greatest common factor 5772 and 5792 is 4.

Also check out the Least Common Multiple of 5772 and 5792