What is the Greatest Common Factor of 24844 and 24860?

Greatest common factor (GCF) of 24844 and 24860 is 4.

GCF(24844,24860) = 4

We will now calculate the prime factors of 24844 and 24860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24844 and 24860.

How to find the GCF of 24844 and 24860?

We will first find the prime factorization of 24844 and 24860. After we will calculate the factors of 24844 and 24860 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 24860

Prime factors of 24860 are 2, 5, 11, 113. Prime factorization of 24860 in exponential form is:

24860 = 2² × 5¹ × 11¹ × 113¹

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 24860

List of positive integer factors of 24860 that divides 24844 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 113, 220, 226, 452, 565, 1130, 1243, 2260, 2486, 4972, 6215, 12430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24844 and 24860. The biggest common factor number is the GCF number.
So the greatest common factor 24844 and 24860 is 4.

Also check out the Least Common Multiple of 24844 and 24860