What is the Greatest Common Factor of 24156 and 24164?

Greatest common factor (GCF) of 24156 and 24164 is 4.

GCF(24156,24164) = 4

We will now calculate the prime factors of 24156 and 24164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24156 and 24164.

How to find the GCF of 24156 and 24164?

We will first find the prime factorization of 24156 and 24164. After we will calculate the factors of 24156 and 24164 and find the biggest common factor number .

Step-1: Prime Factorization of 24156

Prime factors of 24156 are 2, 3, 11, 61. Prime factorization of 24156 in exponential form is:

24156 = 2² × 3² × 11¹ × 61¹

Step-2: Prime Factorization of 24164

Prime factors of 24164 are 2, 7, 863. Prime factorization of 24164 in exponential form is:

24164 = 2² × 7¹ × 863¹

Step-3: Factors of 24156

List of positive integer factors of 24156 that divides 24156 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 61, 66, 99, 122, 132, 183, 198, 244, 366, 396, 549, 671, 732, 1098, 1342, 2013, 2196, 2684, 4026, 6039, 8052, 12078

Step-4: Factors of 24164

List of positive integer factors of 24164 that divides 24156 without a remainder.

1, 2, 4, 7, 14, 28, 863, 1726, 3452, 6041, 12082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24156 and 24164. The biggest common factor number is the GCF number.
So the greatest common factor 24156 and 24164 is 4.

Also check out the Least Common Multiple of 24156 and 24164