What is the Greatest Common Factor of 24524 and 24544?

Greatest common factor (GCF) of 24524 and 24544 is 4.

GCF(24524,24544) = 4

We will now calculate the prime factors of 24524 and 24544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24524 and 24544.

How to find the GCF of 24524 and 24544?

We will first find the prime factorization of 24524 and 24544. After we will calculate the factors of 24524 and 24544 and find the biggest common factor number .

Step-1: Prime Factorization of 24524

Prime factors of 24524 are 2, 6131. Prime factorization of 24524 in exponential form is:

24524 = 2² × 6131¹

Step-2: 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-3: Factors of 24524

List of positive integer factors of 24524 that divides 24524 without a remainder.

1, 2, 4, 6131, 12262

Step-4: Factors of 24544

List of positive integer factors of 24544 that divides 24524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24524 and 24544. The biggest common factor number is the GCF number.
So the greatest common factor 24524 and 24544 is 4.

Also check out the Least Common Multiple of 24524 and 24544