What is the Greatest Common Factor of 24030 and 24034?

Greatest common factor (GCF) of 24030 and 24034 is 2.

GCF(24030,24034) = 2

We will now calculate the prime factors of 24030 and 24034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24030 and 24034.

How to find the GCF of 24030 and 24034?

We will first find the prime factorization of 24030 and 24034. After we will calculate the factors of 24030 and 24034 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 24034

Prime factors of 24034 are 2, 61, 197. Prime factorization of 24034 in exponential form is:

24034 = 2¹ × 61¹ × 197¹

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 24034

List of positive integer factors of 24034 that divides 24030 without a remainder.

1, 2, 61, 122, 197, 394, 12017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24030 and 24034. The biggest common factor number is the GCF number.
So the greatest common factor 24030 and 24034 is 2.

Also check out the Least Common Multiple of 24030 and 24034