What is the Greatest Common Factor of 24058 and 24072?

Greatest common factor (GCF) of 24058 and 24072 is 2.

GCF(24058,24072) = 2

We will now calculate the prime factors of 24058 and 24072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24058 and 24072.

How to find the GCF of 24058 and 24072?

We will first find the prime factorization of 24058 and 24072. After we will calculate the factors of 24058 and 24072 and find the biggest common factor number .

Step-1: Prime Factorization of 24058

Prime factors of 24058 are 2, 23, 523. Prime factorization of 24058 in exponential form is:

24058 = 2¹ × 23¹ × 523¹

Step-2: Prime Factorization of 24072

Prime factors of 24072 are 2, 3, 17, 59. Prime factorization of 24072 in exponential form is:

24072 = 2³ × 3¹ × 17¹ × 59¹

Step-3: Factors of 24058

List of positive integer factors of 24058 that divides 24058 without a remainder.

1, 2, 23, 46, 523, 1046, 12029

Step-4: Factors of 24072

List of positive integer factors of 24072 that divides 24058 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 59, 68, 102, 118, 136, 177, 204, 236, 354, 408, 472, 708, 1003, 1416, 2006, 3009, 4012, 6018, 8024, 12036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24058 and 24072. The biggest common factor number is the GCF number.
So the greatest common factor 24058 and 24072 is 2.

Also check out the Least Common Multiple of 24058 and 24072