What is the Greatest Common Factor of 5852 and 5871?

Greatest common factor (GCF) of 5852 and 5871 is 19.

GCF(5852,5871) = 19

We will now calculate the prime factors of 5852 and 5871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5852 and 5871.

How to find the GCF of 5852 and 5871?

We will first find the prime factorization of 5852 and 5871. After we will calculate the factors of 5852 and 5871 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5871

Prime factors of 5871 are 3, 19, 103. Prime factorization of 5871 in exponential form is:

5871 = 3¹ × 19¹ × 103¹

Step-3: Factors of 5852

List of positive integer factors of 5852 that divides 5852 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

Step-4: Factors of 5871

List of positive integer factors of 5871 that divides 5852 without a remainder.

1, 3, 19, 57, 103, 309, 1957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5852 and 5871. The biggest common factor number is the GCF number.
So the greatest common factor 5852 and 5871 is 19.

Also check out the Least Common Multiple of 5852 and 5871