What is the Greatest Common Factor of 5845 and 5852?

Greatest common factor (GCF) of 5845 and 5852 is 7.

GCF(5845,5852) = 7

We will now calculate the prime factors of 5845 and 5852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5845 and 5852.

How to find the GCF of 5845 and 5852?

We will first find the prime factorization of 5845 and 5852. After we will calculate the factors of 5845 and 5852 and find the biggest common factor number .

Step-1: Prime Factorization of 5845

Prime factors of 5845 are 5, 7, 167. Prime factorization of 5845 in exponential form is:

5845 = 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 5852

Prime factors of 5852 are 2, 7, 11, 19. Prime factorization of 5852 in exponential form is:

5852 = 2² × 7¹ × 11¹ × 19¹

Step-3: Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1, 5, 7, 35, 167, 835, 1169

Step-4: Factors of 5852

List of positive integer factors of 5852 that divides 5845 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5845 and 5852. The biggest common factor number is the GCF number.
So the greatest common factor 5845 and 5852 is 7.

Also check out the Least Common Multiple of 5845 and 5852