What is the Greatest Common Factor of 23963 and 23970?

Greatest common factor (GCF) of 23963 and 23970 is 1.

GCF(23963,23970) = 1

We will now calculate the prime factors of 23963 and 23970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23963 and 23970.

How to find the GCF of 23963 and 23970?

We will first find the prime factorization of 23963 and 23970. After we will calculate the factors of 23963 and 23970 and find the biggest common factor number .

Step-1: Prime Factorization of 23963

Prime factors of 23963 are 31, 773. Prime factorization of 23963 in exponential form is:

23963 = 31¹ × 773¹

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 23963

List of positive integer factors of 23963 that divides 23963 without a remainder.

1, 31, 773

Step-4: Factors of 23970

List of positive integer factors of 23970 that divides 23963 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 23963 and 23970. The biggest common factor number is the GCF number.
So the greatest common factor 23963 and 23970 is 1.

Also check out the Least Common Multiple of 23963 and 23970