What is the Greatest Common Factor of 23580 and 23598?

Greatest common factor (GCF) of 23580 and 23598 is 18.

GCF(23580,23598) = 18

We will now calculate the prime factors of 23580 and 23598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23580 and 23598.

How to find the GCF of 23580 and 23598?

We will first find the prime factorization of 23580 and 23598. After we will calculate the factors of 23580 and 23598 and find the biggest common factor number .

Step-1: Prime Factorization of 23580

Prime factors of 23580 are 2, 3, 5, 131. Prime factorization of 23580 in exponential form is:

23580 = 2² × 3² × 5¹ × 131¹

Step-2: Prime Factorization of 23598

Prime factors of 23598 are 2, 3, 19, 23. Prime factorization of 23598 in exponential form is:

23598 = 2¹ × 3³ × 19¹ × 23¹

Step-3: Factors of 23580

List of positive integer factors of 23580 that divides 23580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 131, 180, 262, 393, 524, 655, 786, 1179, 1310, 1572, 1965, 2358, 2620, 3930, 4716, 5895, 7860, 11790

Step-4: Factors of 23598

List of positive integer factors of 23598 that divides 23580 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 27, 38, 46, 54, 57, 69, 114, 138, 171, 207, 342, 414, 437, 513, 621, 874, 1026, 1242, 1311, 2622, 3933, 7866, 11799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23580 and 23598. The biggest common factor number is the GCF number.
So the greatest common factor 23580 and 23598 is 18.

Also check out the Least Common Multiple of 23580 and 23598