What is the Greatest Common Factor of 24356 and 24376?

Greatest common factor (GCF) of 24356 and 24376 is 4.

GCF(24356,24376) = 4

We will now calculate the prime factors of 24356 and 24376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24356 and 24376.

How to find the GCF of 24356 and 24376?

We will first find the prime factorization of 24356 and 24376. After we will calculate the factors of 24356 and 24376 and find the biggest common factor number .

Step-1: Prime Factorization of 24356

Prime factors of 24356 are 2, 6089. Prime factorization of 24356 in exponential form is:

24356 = 2² × 6089¹

Step-2: Prime Factorization of 24376

Prime factors of 24376 are 2, 11, 277. Prime factorization of 24376 in exponential form is:

24376 = 2³ × 11¹ × 277¹

Step-3: Factors of 24356

List of positive integer factors of 24356 that divides 24356 without a remainder.

1, 2, 4, 6089, 12178

Step-4: Factors of 24376

List of positive integer factors of 24376 that divides 24356 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 277, 554, 1108, 2216, 3047, 6094, 12188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24356 and 24376. The biggest common factor number is the GCF number.
So the greatest common factor 24356 and 24376 is 4.

Also check out the Least Common Multiple of 24356 and 24376