What is the Greatest Common Factor of 24852 and 24871?

Greatest common factor (GCF) of 24852 and 24871 is 19.

GCF(24852,24871) = 19

We will now calculate the prime factors of 24852 and 24871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24852 and 24871.

How to find the GCF of 24852 and 24871?

We will first find the prime factorization of 24852 and 24871. After we will calculate the factors of 24852 and 24871 and find the biggest common factor number .

Step-1: Prime Factorization of 24852

Prime factors of 24852 are 2, 3, 19, 109. Prime factorization of 24852 in exponential form is:

24852 = 2² × 3¹ × 19¹ × 109¹

Step-2: Prime Factorization of 24871

Prime factors of 24871 are 7, 11, 17, 19. Prime factorization of 24871 in exponential form is:

24871 = 7¹ × 11¹ × 17¹ × 19¹

Step-3: Factors of 24852

List of positive integer factors of 24852 that divides 24852 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 109, 114, 218, 228, 327, 436, 654, 1308, 2071, 4142, 6213, 8284, 12426

Step-4: Factors of 24871

List of positive integer factors of 24871 that divides 24852 without a remainder.

1, 7, 11, 17, 19, 77, 119, 133, 187, 209, 323, 1309, 1463, 2261, 3553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24852 and 24871. The biggest common factor number is the GCF number.
So the greatest common factor 24852 and 24871 is 19.

Also check out the Least Common Multiple of 24852 and 24871