What is the Greatest Common Factor of 24059 and 24066?

Greatest common factor (GCF) of 24059 and 24066 is 7.

GCF(24059,24066) = 7

We will now calculate the prime factors of 24059 and 24066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24059 and 24066.

How to find the GCF of 24059 and 24066?

We will first find the prime factorization of 24059 and 24066. After we will calculate the factors of 24059 and 24066 and find the biggest common factor number .

Step-1: Prime Factorization of 24059

Prime factors of 24059 are 7, 491. Prime factorization of 24059 in exponential form is:

24059 = 7² × 491¹

Step-2: Prime Factorization of 24066

Prime factors of 24066 are 2, 3, 7, 191. Prime factorization of 24066 in exponential form is:

24066 = 2¹ × 3² × 7¹ × 191¹

Step-3: Factors of 24059

List of positive integer factors of 24059 that divides 24059 without a remainder.

1, 7, 49, 491, 3437

Step-4: Factors of 24066

List of positive integer factors of 24066 that divides 24059 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 191, 382, 573, 1146, 1337, 1719, 2674, 3438, 4011, 8022, 12033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24059 and 24066. The biggest common factor number is the GCF number.
So the greatest common factor 24059 and 24066 is 7.

Also check out the Least Common Multiple of 24059 and 24066