What is the Greatest Common Factor of 24030 and 24040?

Greatest common factor (GCF) of 24030 and 24040 is 10.

GCF(24030,24040) = 10

We will now calculate the prime factors of 24030 and 24040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24030 and 24040.

How to find the GCF of 24030 and 24040?

We will first find the prime factorization of 24030 and 24040. After we will calculate the factors of 24030 and 24040 and find the biggest common factor number .

Step-1: Prime Factorization of 24030

Prime factors of 24030 are 2, 3, 5, 89. Prime factorization of 24030 in exponential form is:

24030 = 2¹ × 3³ × 5¹ × 89¹

Step-2: Prime Factorization of 24040

Prime factors of 24040 are 2, 5, 601. Prime factorization of 24040 in exponential form is:

24040 = 2³ × 5¹ × 601¹

Step-3: Factors of 24030

List of positive integer factors of 24030 that divides 24030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 89, 90, 135, 178, 267, 270, 445, 534, 801, 890, 1335, 1602, 2403, 2670, 4005, 4806, 8010, 12015

Step-4: Factors of 24040

List of positive integer factors of 24040 that divides 24030 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 601, 1202, 2404, 3005, 4808, 6010, 12020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24030 and 24040. The biggest common factor number is the GCF number.
So the greatest common factor 24030 and 24040 is 10.

Also check out the Least Common Multiple of 24030 and 24040