What is the Greatest Common Factor of 24240 and 24251?

Greatest common factor (GCF) of 24240 and 24251 is 1.

GCF(24240,24251) = 1

We will now calculate the prime factors of 24240 and 24251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24240 and 24251.

How to find the GCF of 24240 and 24251?

We will first find the prime factorization of 24240 and 24251. After we will calculate the factors of 24240 and 24251 and find the biggest common factor number .

Step-1: Prime Factorization of 24240

Prime factors of 24240 are 2, 3, 5, 101. Prime factorization of 24240 in exponential form is:

24240 = 2⁴ × 3¹ × 5¹ × 101¹

Step-2: Prime Factorization of 24251

Prime factors of 24251 are 24251. Prime factorization of 24251 in exponential form is:

24251 = 24251¹

Step-3: Factors of 24240

List of positive integer factors of 24240 that divides 24240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 101, 120, 202, 240, 303, 404, 505, 606, 808, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 4040, 4848, 6060, 8080, 12120

Step-4: Factors of 24251

List of positive integer factors of 24251 that divides 24240 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24240 and 24251. The biggest common factor number is the GCF number.
So the greatest common factor 24240 and 24251 is 1.

Also check out the Least Common Multiple of 24240 and 24251