What is the Greatest Common Factor of 5772 and 5785?

Greatest common factor (GCF) of 5772 and 5785 is 13.

GCF(5772,5785) = 13

We will now calculate the prime factors of 5772 and 5785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5772 and 5785.

How to find the GCF of 5772 and 5785?

We will first find the prime factorization of 5772 and 5785. After we will calculate the factors of 5772 and 5785 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 5785

Prime factors of 5785 are 5, 13, 89. Prime factorization of 5785 in exponential form is:

5785 = 5¹ × 13¹ × 89¹

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 5785

List of positive integer factors of 5785 that divides 5772 without a remainder.

1, 5, 13, 65, 89, 445, 1157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5772 and 5785. The biggest common factor number is the GCF number.
So the greatest common factor 5772 and 5785 is 13.

Also check out the Least Common Multiple of 5772 and 5785