What is the Greatest Common Factor of 24983 and 24997?

Greatest common factor (GCF) of 24983 and 24997 is 7.

GCF(24983,24997) = 7

We will now calculate the prime factors of 24983 and 24997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24983 and 24997.

How to find the GCF of 24983 and 24997?

We will first find the prime factorization of 24983 and 24997. After we will calculate the factors of 24983 and 24997 and find the biggest common factor number .

Step-1: Prime Factorization of 24983

Prime factors of 24983 are 7, 43, 83. Prime factorization of 24983 in exponential form is:

24983 = 7¹ × 43¹ × 83¹

Step-2: Prime Factorization of 24997

Prime factors of 24997 are 7, 3571. Prime factorization of 24997 in exponential form is:

24997 = 7¹ × 3571¹

Step-3: Factors of 24983

List of positive integer factors of 24983 that divides 24983 without a remainder.

1, 7, 43, 83, 301, 581, 3569

Step-4: Factors of 24997

List of positive integer factors of 24997 that divides 24983 without a remainder.

1, 7, 3571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24983 and 24997. The biggest common factor number is the GCF number.
So the greatest common factor 24983 and 24997 is 7.

Also check out the Least Common Multiple of 24983 and 24997