What is the Greatest Common Factor of 24869 and 24874?

Greatest common factor (GCF) of 24869 and 24874 is 1.

GCF(24869,24874) = 1

We will now calculate the prime factors of 24869 and 24874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24869 and 24874.

How to find the GCF of 24869 and 24874?

We will first find the prime factorization of 24869 and 24874. After we will calculate the factors of 24869 and 24874 and find the biggest common factor number .

Step-1: Prime Factorization of 24869

Prime factors of 24869 are 13, 1913. Prime factorization of 24869 in exponential form is:

24869 = 13¹ × 1913¹

Step-2: Prime Factorization of 24874

Prime factors of 24874 are 2, 12437. Prime factorization of 24874 in exponential form is:

24874 = 2¹ × 12437¹

Step-3: Factors of 24869

List of positive integer factors of 24869 that divides 24869 without a remainder.

1, 13, 1913

Step-4: Factors of 24874

List of positive integer factors of 24874 that divides 24869 without a remainder.

1, 2, 12437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24869 and 24874. The biggest common factor number is the GCF number.
So the greatest common factor 24869 and 24874 is 1.

Also check out the Least Common Multiple of 24869 and 24874