What is the Greatest Common Factor of 24544 and 24564?

Greatest common factor (GCF) of 24544 and 24564 is 4.

GCF(24544,24564) = 4

We will now calculate the prime factors of 24544 and 24564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24544 and 24564.

How to find the GCF of 24544 and 24564?

We will first find the prime factorization of 24544 and 24564. After we will calculate the factors of 24544 and 24564 and find the biggest common factor number .

Step-1: Prime Factorization of 24544

Prime factors of 24544 are 2, 13, 59. Prime factorization of 24544 in exponential form is:

24544 = 2⁵ × 13¹ × 59¹

Step-2: Prime Factorization of 24564

Prime factors of 24564 are 2, 3, 23, 89. Prime factorization of 24564 in exponential form is:

24564 = 2² × 3¹ × 23¹ × 89¹

Step-3: Factors of 24544

List of positive integer factors of 24544 that divides 24544 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 104, 118, 208, 236, 416, 472, 767, 944, 1534, 1888, 3068, 6136, 12272

Step-4: Factors of 24564

List of positive integer factors of 24564 that divides 24544 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 89, 92, 138, 178, 267, 276, 356, 534, 1068, 2047, 4094, 6141, 8188, 12282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24544 and 24564. The biggest common factor number is the GCF number.
So the greatest common factor 24544 and 24564 is 4.

Also check out the Least Common Multiple of 24544 and 24564