What is the Greatest Common Factor of 24021 and 24030?

Greatest common factor (GCF) of 24021 and 24030 is 9.

GCF(24021,24030) = 9

We will now calculate the prime factors of 24021 and 24030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24021 and 24030.

How to find the GCF of 24021 and 24030?

We will first find the prime factorization of 24021 and 24030. After we will calculate the factors of 24021 and 24030 and find the biggest common factor number .

Step-1: Prime Factorization of 24021

Prime factors of 24021 are 3, 17, 157. Prime factorization of 24021 in exponential form is:

24021 = 3² × 17¹ × 157¹

Step-2: 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-3: Factors of 24021

List of positive integer factors of 24021 that divides 24021 without a remainder.

1, 3, 9, 17, 51, 153, 157, 471, 1413, 2669, 8007

Step-4: Factors of 24030

List of positive integer factors of 24030 that divides 24021 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24021 and 24030. The biggest common factor number is the GCF number.
So the greatest common factor 24021 and 24030 is 9.

Also check out the Least Common Multiple of 24021 and 24030