What is the Greatest Common Factor of 24346 and 24364?

Greatest common factor (GCF) of 24346 and 24364 is 2.

GCF(24346,24364) = 2

We will now calculate the prime factors of 24346 and 24364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24346 and 24364.

How to find the GCF of 24346 and 24364?

We will first find the prime factorization of 24346 and 24364. After we will calculate the factors of 24346 and 24364 and find the biggest common factor number .

Step-1: Prime Factorization of 24346

Prime factors of 24346 are 2, 7, 37, 47. Prime factorization of 24346 in exponential form is:

24346 = 2¹ × 7¹ × 37¹ × 47¹

Step-2: Prime Factorization of 24364

Prime factors of 24364 are 2, 6091. Prime factorization of 24364 in exponential form is:

24364 = 2² × 6091¹

Step-3: Factors of 24346

List of positive integer factors of 24346 that divides 24346 without a remainder.

1, 2, 7, 14, 37, 47, 74, 94, 259, 329, 518, 658, 1739, 3478, 12173

Step-4: Factors of 24364

List of positive integer factors of 24364 that divides 24346 without a remainder.

1, 2, 4, 6091, 12182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24346 and 24364. The biggest common factor number is the GCF number.
So the greatest common factor 24346 and 24364 is 2.

Also check out the Least Common Multiple of 24346 and 24364