What is the Greatest Common Factor of 23580 and 23590?

Greatest common factor (GCF) of 23580 and 23590 is 10.

GCF(23580,23590) = 10

We will now calculate the prime factors of 23580 and 23590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23580 and 23590.

How to find the GCF of 23580 and 23590?

We will first find the prime factorization of 23580 and 23590. After we will calculate the factors of 23580 and 23590 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 23590

Prime factors of 23590 are 2, 5, 7, 337. Prime factorization of 23590 in exponential form is:

23590 = 2¹ × 5¹ × 7¹ × 337¹

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 23590

List of positive integer factors of 23590 that divides 23580 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 337, 674, 1685, 2359, 3370, 4718, 11795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23580 and 23590. The biggest common factor number is the GCF number.
So the greatest common factor 23580 and 23590 is 10.

Also check out the Least Common Multiple of 23580 and 23590