What is the Greatest Common Factor of 23954 and 23961?

Greatest common factor (GCF) of 23954 and 23961 is 7.

GCF(23954,23961) = 7

We will now calculate the prime factors of 23954 and 23961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23954 and 23961.

How to find the GCF of 23954 and 23961?

We will first find the prime factorization of 23954 and 23961. After we will calculate the factors of 23954 and 23961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23961

Prime factors of 23961 are 3, 7, 163. Prime factorization of 23961 in exponential form is:

23961 = 3¹ × 7² × 163¹

Step-3: Factors of 23954

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

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

Step-4: Factors of 23961

List of positive integer factors of 23961 that divides 23954 without a remainder.

1, 3, 7, 21, 49, 147, 163, 489, 1141, 3423, 7987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23954 and 23961. The biggest common factor number is the GCF number.
So the greatest common factor 23954 and 23961 is 7.

Also check out the Least Common Multiple of 23954 and 23961