What is the Greatest Common Factor of 24112 and 24128?

Greatest common factor (GCF) of 24112 and 24128 is 16.

GCF(24112,24128) = 16

We will now calculate the prime factors of 24112 and 24128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24112 and 24128.

How to find the GCF of 24112 and 24128?

We will first find the prime factorization of 24112 and 24128. After we will calculate the factors of 24112 and 24128 and find the biggest common factor number .

Step-1: Prime Factorization of 24112

Prime factors of 24112 are 2, 11, 137. Prime factorization of 24112 in exponential form is:

24112 = 2⁴ × 11¹ × 137¹

Step-2: 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-3: Factors of 24112

List of positive integer factors of 24112 that divides 24112 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 137, 176, 274, 548, 1096, 1507, 2192, 3014, 6028, 12056

Step-4: Factors of 24128

List of positive integer factors of 24128 that divides 24112 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24112 and 24128. The biggest common factor number is the GCF number.
So the greatest common factor 24112 and 24128 is 16.

Also check out the Least Common Multiple of 24112 and 24128