What is the Greatest Common Factor of 24451 and 24457?

Greatest common factor (GCF) of 24451 and 24457 is 1.

GCF(24451,24457) = 1

We will now calculate the prime factors of 24451 and 24457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24451 and 24457.

How to find the GCF of 24451 and 24457?

We will first find the prime factorization of 24451 and 24457. After we will calculate the factors of 24451 and 24457 and find the biggest common factor number .

Step-1: Prime Factorization of 24451

Prime factors of 24451 are 7, 499. Prime factorization of 24451 in exponential form is:

24451 = 7² × 499¹

Step-2: Prime Factorization of 24457

Prime factors of 24457 are 37, 661. Prime factorization of 24457 in exponential form is:

24457 = 37¹ × 661¹

Step-3: Factors of 24451

List of positive integer factors of 24451 that divides 24451 without a remainder.

1, 7, 49, 499, 3493

Step-4: Factors of 24457

List of positive integer factors of 24457 that divides 24451 without a remainder.

1, 37, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24451 and 24457. The biggest common factor number is the GCF number.
So the greatest common factor 24451 and 24457 is 1.

Also check out the Least Common Multiple of 24451 and 24457