What is the Greatest Common Factor of 2124 and 2144?

Greatest common factor (GCF) of 2124 and 2144 is 4.

GCF(2124,2144) = 4

We will now calculate the prime factors of 2124 and 2144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2124 and 2144.

How to find the GCF of 2124 and 2144?

We will first find the prime factorization of 2124 and 2144. After we will calculate the factors of 2124 and 2144 and find the biggest common factor number .

Step-1: Prime Factorization of 2124

Prime factors of 2124 are 2, 3, 59. Prime factorization of 2124 in exponential form is:

2124 = 2² × 3² × 59¹

Step-2: Prime Factorization of 2144

Prime factors of 2144 are 2, 67. Prime factorization of 2144 in exponential form is:

2144 = 2⁵ × 67¹

Step-3: Factors of 2124

List of positive integer factors of 2124 that divides 2124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062

Step-4: Factors of 2144

List of positive integer factors of 2144 that divides 2124 without a remainder.

1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2124 and 2144. The biggest common factor number is the GCF number.
So the greatest common factor 2124 and 2144 is 4.

Also check out the Least Common Multiple of 2124 and 2144