What is the Greatest Common Factor of 24128 and 24141?

Greatest common factor (GCF) of 24128 and 24141 is 13.

GCF(24128,24141) = 13

We will now calculate the prime factors of 24128 and 24141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24128 and 24141.

How to find the GCF of 24128 and 24141?

We will first find the prime factorization of 24128 and 24141. After we will calculate the factors of 24128 and 24141 and find the biggest common factor number .

Step-1: Prime Factorization of 24128

Prime factors of 24128 are 2, 13, 29. Prime factorization of 24128 in exponential form is:

24128 = 2⁶ × 13¹ × 29¹

Step-2: Prime Factorization of 24141

Prime factors of 24141 are 3, 13, 619. Prime factorization of 24141 in exponential form is:

24141 = 3¹ × 13¹ × 619¹

Step-3: Factors of 24128

List of positive integer factors of 24128 that divides 24128 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 32, 52, 58, 64, 104, 116, 208, 232, 377, 416, 464, 754, 832, 928, 1508, 1856, 3016, 6032, 12064

Step-4: Factors of 24141

List of positive integer factors of 24141 that divides 24128 without a remainder.

1, 3, 13, 39, 619, 1857, 8047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24128 and 24141. The biggest common factor number is the GCF number.
So the greatest common factor 24128 and 24141 is 13.

Also check out the Least Common Multiple of 24128 and 24141