What is the Greatest Common Factor of 5772 and 5782?

Greatest common factor (GCF) of 5772 and 5782 is 2.

GCF(5772,5782) = 2

We will now calculate the prime factors of 5772 and 5782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5772 and 5782.

How to find the GCF of 5772 and 5782?

We will first find the prime factorization of 5772 and 5782. After we will calculate the factors of 5772 and 5782 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 5782

Prime factors of 5782 are 2, 7, 59. Prime factorization of 5782 in exponential form is:

5782 = 2¹ × 7² × 59¹

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 5782

List of positive integer factors of 5782 that divides 5772 without a remainder.

1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5772 and 5782. The biggest common factor number is the GCF number.
So the greatest common factor 5772 and 5782 is 2.

Also check out the Least Common Multiple of 5772 and 5782