What is the Greatest Common Factor of 24540 and 24552?

Greatest common factor (GCF) of 24540 and 24552 is 12.

GCF(24540,24552) = 12

We will now calculate the prime factors of 24540 and 24552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24540 and 24552.

How to find the GCF of 24540 and 24552?

We will first find the prime factorization of 24540 and 24552. After we will calculate the factors of 24540 and 24552 and find the biggest common factor number .

Step-1: Prime Factorization of 24540

Prime factors of 24540 are 2, 3, 5, 409. Prime factorization of 24540 in exponential form is:

24540 = 2² × 3¹ × 5¹ × 409¹

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 24540

List of positive integer factors of 24540 that divides 24540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 409, 818, 1227, 1636, 2045, 2454, 4090, 4908, 6135, 8180, 12270

Step-4: Factors of 24552

List of positive integer factors of 24552 that divides 24540 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 24540 and 24552. The biggest common factor number is the GCF number.
So the greatest common factor 24540 and 24552 is 12.

Also check out the Least Common Multiple of 24540 and 24552