What is the Greatest Common Factor of 23970 and 23983?

Greatest common factor (GCF) of 23970 and 23983 is 1.

GCF(23970,23983) = 1

We will now calculate the prime factors of 23970 and 23983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23970 and 23983.

How to find the GCF of 23970 and 23983?

We will first find the prime factorization of 23970 and 23983. After we will calculate the factors of 23970 and 23983 and find the biggest common factor number .

Step-1: Prime Factorization of 23970

Prime factors of 23970 are 2, 3, 5, 17, 47. Prime factorization of 23970 in exponential form is:

23970 = 2¹ × 3¹ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 23983

Prime factors of 23983 are 29, 827. Prime factorization of 23983 in exponential form is:

23983 = 29¹ × 827¹

Step-3: Factors of 23970

List of positive integer factors of 23970 that divides 23970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 47, 51, 85, 94, 102, 141, 170, 235, 255, 282, 470, 510, 705, 799, 1410, 1598, 2397, 3995, 4794, 7990, 11985

Step-4: Factors of 23983

List of positive integer factors of 23983 that divides 23970 without a remainder.

1, 29, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23970 and 23983. The biggest common factor number is the GCF number.
So the greatest common factor 23970 and 23983 is 1.

Also check out the Least Common Multiple of 23970 and 23983