What is the Greatest Common Factor of 24827 and 24845?

Greatest common factor (GCF) of 24827 and 24845 is 1.

GCF(24827,24845) = 1

We will now calculate the prime factors of 24827 and 24845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24827 and 24845.

How to find the GCF of 24827 and 24845?

We will first find the prime factorization of 24827 and 24845. After we will calculate the factors of 24827 and 24845 and find the biggest common factor number .

Step-1: Prime Factorization of 24827

Prime factors of 24827 are 11, 37, 61. Prime factorization of 24827 in exponential form is:

24827 = 11¹ × 37¹ × 61¹

Step-2: Prime Factorization of 24845

Prime factors of 24845 are 5, 4969. Prime factorization of 24845 in exponential form is:

24845 = 5¹ × 4969¹

Step-3: Factors of 24827

List of positive integer factors of 24827 that divides 24827 without a remainder.

1, 11, 37, 61, 407, 671, 2257

Step-4: Factors of 24845

List of positive integer factors of 24845 that divides 24827 without a remainder.

1, 5, 4969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24827 and 24845. The biggest common factor number is the GCF number.
So the greatest common factor 24827 and 24845 is 1.

Also check out the Least Common Multiple of 24827 and 24845