What is the Greatest Common Factor of 95958 and 95976?

Greatest common factor (GCF) of 95958 and 95976 is 18.

GCF(95958,95976) = 18

We will now calculate the prime factors of 95958 and 95976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95958 and 95976.

How to find the GCF of 95958 and 95976?

We will first find the prime factorization of 95958 and 95976. After we will calculate the factors of 95958 and 95976 and find the biggest common factor number .

Step-1: Prime Factorization of 95958

Prime factors of 95958 are 2, 3, 1777. Prime factorization of 95958 in exponential form is:

95958 = 2¹ × 3³ × 1777¹

Step-2: Prime Factorization of 95976

Prime factors of 95976 are 2, 3, 31, 43. Prime factorization of 95976 in exponential form is:

95976 = 2³ × 3² × 31¹ × 43¹

Step-3: Factors of 95958

List of positive integer factors of 95958 that divides 95958 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1777, 3554, 5331, 10662, 15993, 31986, 47979

Step-4: Factors of 95976

List of positive integer factors of 95976 that divides 95958 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 43, 62, 72, 86, 93, 124, 129, 172, 186, 248, 258, 279, 344, 372, 387, 516, 558, 744, 774, 1032, 1116, 1333, 1548, 2232, 2666, 3096, 3999, 5332, 7998, 10664, 11997, 15996, 23994, 31992, 47988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95958 and 95976. The biggest common factor number is the GCF number.
So the greatest common factor 95958 and 95976 is 18.

Also check out the Least Common Multiple of 95958 and 95976