What is the Greatest Common Factor of 24030 and 24035?

Greatest common factor (GCF) of 24030 and 24035 is 5.

GCF(24030,24035) = 5

We will now calculate the prime factors of 24030 and 24035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24030 and 24035.

How to find the GCF of 24030 and 24035?

We will first find the prime factorization of 24030 and 24035. After we will calculate the factors of 24030 and 24035 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 24035

Prime factors of 24035 are 5, 11, 19, 23. Prime factorization of 24035 in exponential form is:

24035 = 5¹ × 11¹ × 19¹ × 23¹

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 24035

List of positive integer factors of 24035 that divides 24030 without a remainder.

1, 5, 11, 19, 23, 55, 95, 115, 209, 253, 437, 1045, 1265, 2185, 4807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24030 and 24035. The biggest common factor number is the GCF number.
So the greatest common factor 24030 and 24035 is 5.

Also check out the Least Common Multiple of 24030 and 24035