What is the Greatest Common Factor of 23946 and 23954?

Greatest common factor (GCF) of 23946 and 23954 is 2.

GCF(23946,23954) = 2

We will now calculate the prime factors of 23946 and 23954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23946 and 23954.

How to find the GCF of 23946 and 23954?

We will first find the prime factorization of 23946 and 23954. After we will calculate the factors of 23946 and 23954 and find the biggest common factor number .

Step-1: Prime Factorization of 23946

Prime factors of 23946 are 2, 3, 13, 307. Prime factorization of 23946 in exponential form is:

23946 = 2¹ × 3¹ × 13¹ × 307¹

Step-2: Prime Factorization of 23954

Prime factors of 23954 are 2, 7, 29, 59. Prime factorization of 23954 in exponential form is:

23954 = 2¹ × 7¹ × 29¹ × 59¹

Step-3: Factors of 23946

List of positive integer factors of 23946 that divides 23946 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 307, 614, 921, 1842, 3991, 7982, 11973

Step-4: Factors of 23954

List of positive integer factors of 23954 that divides 23946 without a remainder.

1, 2, 7, 14, 29, 58, 59, 118, 203, 406, 413, 826, 1711, 3422, 11977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23946 and 23954. The biggest common factor number is the GCF number.
So the greatest common factor 23946 and 23954 is 2.

Also check out the Least Common Multiple of 23946 and 23954