What is the Greatest Common Factor of 5768 and 5772?

Greatest common factor (GCF) of 5768 and 5772 is 4.

GCF(5768,5772) = 4

We will now calculate the prime factors of 5768 and 5772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5768 and 5772.

How to find the GCF of 5768 and 5772?

We will first find the prime factorization of 5768 and 5772. After we will calculate the factors of 5768 and 5772 and find the biggest common factor number .

Step-1: Prime Factorization of 5768

Prime factors of 5768 are 2, 7, 103. Prime factorization of 5768 in exponential form is:

5768 = 2³ × 7¹ × 103¹

Step-2: 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-3: Factors of 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884

Step-4: Factors of 5772

List of positive integer factors of 5772 that divides 5768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5768 and 5772. The biggest common factor number is the GCF number.
So the greatest common factor 5768 and 5772 is 4.

Also check out the Least Common Multiple of 5768 and 5772