What is the Greatest Common Factor of 23960 and 23970?

Greatest common factor (GCF) of 23960 and 23970 is 10.

GCF(23960,23970) = 10

We will now calculate the prime factors of 23960 and 23970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23960 and 23970.

How to find the GCF of 23960 and 23970?

We will first find the prime factorization of 23960 and 23970. After we will calculate the factors of 23960 and 23970 and find the biggest common factor number .

Step-1: Prime Factorization of 23960

Prime factors of 23960 are 2, 5, 599. Prime factorization of 23960 in exponential form is:

23960 = 2³ × 5¹ × 599¹

Step-2: 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-3: Factors of 23960

List of positive integer factors of 23960 that divides 23960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 599, 1198, 2396, 2995, 4792, 5990, 11980

Step-4: Factors of 23970

List of positive integer factors of 23970 that divides 23960 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23960 and 23970. The biggest common factor number is the GCF number.
So the greatest common factor 23960 and 23970 is 10.

Also check out the Least Common Multiple of 23960 and 23970