What is the Greatest Common Factor of 24140 and 24144?

Greatest common factor (GCF) of 24140 and 24144 is 4.

GCF(24140,24144) = 4

We will now calculate the prime factors of 24140 and 24144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24140 and 24144.

How to find the GCF of 24140 and 24144?

We will first find the prime factorization of 24140 and 24144. After we will calculate the factors of 24140 and 24144 and find the biggest common factor number .

Step-1: Prime Factorization of 24140

Prime factors of 24140 are 2, 5, 17, 71. Prime factorization of 24140 in exponential form is:

24140 = 2² × 5¹ × 17¹ × 71¹

Step-2: Prime Factorization of 24144

Prime factors of 24144 are 2, 3, 503. Prime factorization of 24144 in exponential form is:

24144 = 2⁴ × 3¹ × 503¹

Step-3: Factors of 24140

List of positive integer factors of 24140 that divides 24140 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 71, 85, 142, 170, 284, 340, 355, 710, 1207, 1420, 2414, 4828, 6035, 12070

Step-4: Factors of 24144

List of positive integer factors of 24144 that divides 24140 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24140 and 24144. The biggest common factor number is the GCF number.
So the greatest common factor 24140 and 24144 is 4.

Also check out the Least Common Multiple of 24140 and 24144