What is the Greatest Common Factor of 24653 and 24673?

Greatest common factor (GCF) of 24653 and 24673 is 1.

GCF(24653,24673) = 1

We will now calculate the prime factors of 24653 and 24673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24653 and 24673.

How to find the GCF of 24653 and 24673?

We will first find the prime factorization of 24653 and 24673. After we will calculate the factors of 24653 and 24673 and find the biggest common factor number .

Step-1: Prime Factorization of 24653

Prime factors of 24653 are 89, 277. Prime factorization of 24653 in exponential form is:

24653 = 89¹ × 277¹

Step-2: Prime Factorization of 24673

Prime factors of 24673 are 11, 2243. Prime factorization of 24673 in exponential form is:

24673 = 11¹ × 2243¹

Step-3: Factors of 24653

List of positive integer factors of 24653 that divides 24653 without a remainder.

1, 89, 277

Step-4: Factors of 24673

List of positive integer factors of 24673 that divides 24653 without a remainder.

1, 11, 2243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24653 and 24673. The biggest common factor number is the GCF number.
So the greatest common factor 24653 and 24673 is 1.

Also check out the Least Common Multiple of 24653 and 24673