What is the Greatest Common Factor of 24844 and 24852?

Greatest common factor (GCF) of 24844 and 24852 is 4.

GCF(24844,24852) = 4

We will now calculate the prime factors of 24844 and 24852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24844 and 24852.

How to find the GCF of 24844 and 24852?

We will first find the prime factorization of 24844 and 24852. After we will calculate the factors of 24844 and 24852 and find the biggest common factor number .

Step-1: Prime Factorization of 24844

Prime factors of 24844 are 2, 6211. Prime factorization of 24844 in exponential form is:

24844 = 2² × 6211¹

Step-2: 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-3: Factors of 24844

List of positive integer factors of 24844 that divides 24844 without a remainder.

1, 2, 4, 6211, 12422

Step-4: Factors of 24852

List of positive integer factors of 24852 that divides 24844 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24844 and 24852. The biggest common factor number is the GCF number.
So the greatest common factor 24844 and 24852 is 4.

Also check out the Least Common Multiple of 24844 and 24852