What is the Greatest Common Factor of 95940 and 95958?

Greatest common factor (GCF) of 95940 and 95958 is 18.

GCF(95940,95958) = 18

We will now calculate the prime factors of 95940 and 95958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95940 and 95958.

How to find the GCF of 95940 and 95958?

We will first find the prime factorization of 95940 and 95958. After we will calculate the factors of 95940 and 95958 and find the biggest common factor number .

Step-1: Prime Factorization of 95940

Prime factors of 95940 are 2, 3, 5, 13, 41. Prime factorization of 95940 in exponential form is:

95940 = 2² × 3² × 5¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 95940

List of positive integer factors of 95940 that divides 95940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 41, 45, 52, 60, 65, 78, 82, 90, 117, 123, 130, 156, 164, 180, 195, 205, 234, 246, 260, 369, 390, 410, 468, 492, 533, 585, 615, 738, 780, 820, 1066, 1170, 1230, 1476, 1599, 1845, 2132, 2340, 2460, 2665, 3198, 3690, 4797, 5330, 6396, 7380, 7995, 9594, 10660, 15990, 19188, 23985, 31980, 47970

Step-4: Factors of 95958

List of positive integer factors of 95958 that divides 95940 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95940 and 95958. The biggest common factor number is the GCF number.
So the greatest common factor 95940 and 95958 is 18.

Also check out the Least Common Multiple of 95940 and 95958