What is the Greatest Common Factor of 24538 and 24546?

Greatest common factor (GCF) of 24538 and 24546 is 2.

GCF(24538,24546) = 2

We will now calculate the prime factors of 24538 and 24546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24538 and 24546.

How to find the GCF of 24538 and 24546?

We will first find the prime factorization of 24538 and 24546. After we will calculate the factors of 24538 and 24546 and find the biggest common factor number .

Step-1: Prime Factorization of 24538

Prime factors of 24538 are 2, 12269. Prime factorization of 24538 in exponential form is:

24538 = 2¹ × 12269¹

Step-2: Prime Factorization of 24546

Prime factors of 24546 are 2, 3, 4091. Prime factorization of 24546 in exponential form is:

24546 = 2¹ × 3¹ × 4091¹

Step-3: Factors of 24538

List of positive integer factors of 24538 that divides 24538 without a remainder.

1, 2, 12269

Step-4: Factors of 24546

List of positive integer factors of 24546 that divides 24538 without a remainder.

1, 2, 3, 6, 4091, 8182, 12273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24538 and 24546. The biggest common factor number is the GCF number.
So the greatest common factor 24538 and 24546 is 2.

Also check out the Least Common Multiple of 24538 and 24546