What is the Greatest Common Factor of 24983 and 24991?

Greatest common factor (GCF) of 24983 and 24991 is 1.

GCF(24983,24991) = 1

We will now calculate the prime factors of 24983 and 24991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24983 and 24991.

How to find the GCF of 24983 and 24991?

We will first find the prime factorization of 24983 and 24991. After we will calculate the factors of 24983 and 24991 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 24991

Prime factors of 24991 are 67, 373. Prime factorization of 24991 in exponential form is:

24991 = 67¹ × 373¹

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 24991

List of positive integer factors of 24991 that divides 24983 without a remainder.

1, 67, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24983 and 24991. The biggest common factor number is the GCF number.
So the greatest common factor 24983 and 24991 is 1.

Also check out the Least Common Multiple of 24983 and 24991