What is the Greatest Common Factor of 24803 and 24815?

Greatest common factor (GCF) of 24803 and 24815 is 1.

GCF(24803,24815) = 1

We will now calculate the prime factors of 24803 and 24815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24803 and 24815.

How to find the GCF of 24803 and 24815?

We will first find the prime factorization of 24803 and 24815. After we will calculate the factors of 24803 and 24815 and find the biggest common factor number .

Step-1: Prime Factorization of 24803

Prime factors of 24803 are 17, 1459. Prime factorization of 24803 in exponential form is:

24803 = 17¹ × 1459¹

Step-2: Prime Factorization of 24815

Prime factors of 24815 are 5, 7, 709. Prime factorization of 24815 in exponential form is:

24815 = 5¹ × 7¹ × 709¹

Step-3: Factors of 24803

List of positive integer factors of 24803 that divides 24803 without a remainder.

1, 17, 1459

Step-4: Factors of 24815

List of positive integer factors of 24815 that divides 24803 without a remainder.

1, 5, 7, 35, 709, 3545, 4963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24803 and 24815. The biggest common factor number is the GCF number.
So the greatest common factor 24803 and 24815 is 1.

Also check out the Least Common Multiple of 24803 and 24815