What is the Greatest Common Factor of 24852 and 24858?

Greatest common factor (GCF) of 24852 and 24858 is 6.

GCF(24852,24858) = 6

We will now calculate the prime factors of 24852 and 24858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24852 and 24858.

How to find the GCF of 24852 and 24858?

We will first find the prime factorization of 24852 and 24858. After we will calculate the factors of 24852 and 24858 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 24858

Prime factors of 24858 are 2, 3, 1381. Prime factorization of 24858 in exponential form is:

24858 = 2¹ × 3² × 1381¹

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 24858

List of positive integer factors of 24858 that divides 24852 without a remainder.

1, 2, 3, 6, 9, 18, 1381, 2762, 4143, 8286, 12429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24852 and 24858. The biggest common factor number is the GCF number.
So the greatest common factor 24852 and 24858 is 6.

Also check out the Least Common Multiple of 24852 and 24858