What is the Greatest Common Factor of 24642 and 24658?

Greatest common factor (GCF) of 24642 and 24658 is 2.

GCF(24642,24658) = 2

We will now calculate the prime factors of 24642 and 24658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24642 and 24658.

How to find the GCF of 24642 and 24658?

We will first find the prime factorization of 24642 and 24658. After we will calculate the factors of 24642 and 24658 and find the biggest common factor number .

Step-1: Prime Factorization of 24642

Prime factors of 24642 are 2, 3, 37. Prime factorization of 24642 in exponential form is:

24642 = 2¹ × 3² × 37²

Step-2: Prime Factorization of 24658

Prime factors of 24658 are 2, 12329. Prime factorization of 24658 in exponential form is:

24658 = 2¹ × 12329¹

Step-3: Factors of 24642

List of positive integer factors of 24642 that divides 24642 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 1369, 2738, 4107, 8214, 12321

Step-4: Factors of 24658

List of positive integer factors of 24658 that divides 24642 without a remainder.

1, 2, 12329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24642 and 24658. The biggest common factor number is the GCF number.
So the greatest common factor 24642 and 24658 is 2.

Also check out the Least Common Multiple of 24642 and 24658