What is the Greatest Common Factor of 24541 and 24552?

Greatest common factor (GCF) of 24541 and 24552 is 11.

GCF(24541,24552) = 11

We will now calculate the prime factors of 24541 and 24552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24541 and 24552.

How to find the GCF of 24541 and 24552?

We will first find the prime factorization of 24541 and 24552. After we will calculate the factors of 24541 and 24552 and find the biggest common factor number .

Step-1: Prime Factorization of 24541

Prime factors of 24541 are 11, 23, 97. Prime factorization of 24541 in exponential form is:

24541 = 11¹ × 23¹ × 97¹

Step-2: Prime Factorization of 24552

Prime factors of 24552 are 2, 3, 11, 31. Prime factorization of 24552 in exponential form is:

24552 = 2³ × 3² × 11¹ × 31¹

Step-3: Factors of 24541

List of positive integer factors of 24541 that divides 24541 without a remainder.

1, 11, 23, 97, 253, 1067, 2231

Step-4: Factors of 24552

List of positive integer factors of 24552 that divides 24541 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 31, 33, 36, 44, 62, 66, 72, 88, 93, 99, 124, 132, 186, 198, 248, 264, 279, 341, 372, 396, 558, 682, 744, 792, 1023, 1116, 1364, 2046, 2232, 2728, 3069, 4092, 6138, 8184, 12276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24541 and 24552. The biggest common factor number is the GCF number.
So the greatest common factor 24541 and 24552 is 11.

Also check out the Least Common Multiple of 24541 and 24552