What is the Greatest Common Factor of 24100 and 24105?

Greatest common factor (GCF) of 24100 and 24105 is 5.

GCF(24100,24105) = 5

We will now calculate the prime factors of 24100 and 24105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24100 and 24105.

How to find the GCF of 24100 and 24105?

We will first find the prime factorization of 24100 and 24105. After we will calculate the factors of 24100 and 24105 and find the biggest common factor number .

Step-1: Prime Factorization of 24100

Prime factors of 24100 are 2, 5, 241. Prime factorization of 24100 in exponential form is:

24100 = 2² × 5² × 241¹

Step-2: Prime Factorization of 24105

Prime factors of 24105 are 3, 5, 1607. Prime factorization of 24105 in exponential form is:

24105 = 3¹ × 5¹ × 1607¹

Step-3: Factors of 24100

List of positive integer factors of 24100 that divides 24100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 241, 482, 964, 1205, 2410, 4820, 6025, 12050

Step-4: Factors of 24105

List of positive integer factors of 24105 that divides 24100 without a remainder.

1, 3, 5, 15, 1607, 4821, 8035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24100 and 24105. The biggest common factor number is the GCF number.
So the greatest common factor 24100 and 24105 is 5.

Also check out the Least Common Multiple of 24100 and 24105