What is the Greatest Common Factor of 95832 and 95838?

Greatest common factor (GCF) of 95832 and 95838 is 6.

GCF(95832,95838) = 6

We will now calculate the prime factors of 95832 and 95838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95832 and 95838.

How to find the GCF of 95832 and 95838?

We will first find the prime factorization of 95832 and 95838. After we will calculate the factors of 95832 and 95838 and find the biggest common factor number .

Step-1: Prime Factorization of 95832

Prime factors of 95832 are 2, 3, 11. Prime factorization of 95832 in exponential form is:

95832 = 2³ × 3² × 11³

Step-2: Prime Factorization of 95838

Prime factors of 95838 are 2, 3, 15973. Prime factorization of 95838 in exponential form is:

95838 = 2¹ × 3¹ × 15973¹

Step-3: Factors of 95832

List of positive integer factors of 95832 that divides 95832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1331, 1452, 2178, 2662, 2904, 3993, 4356, 5324, 7986, 8712, 10648, 11979, 15972, 23958, 31944, 47916

Step-4: Factors of 95838

List of positive integer factors of 95838 that divides 95832 without a remainder.

1, 2, 3, 6, 15973, 31946, 47919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95832 and 95838. The biggest common factor number is the GCF number.
So the greatest common factor 95832 and 95838 is 6.

Also check out the Least Common Multiple of 95832 and 95838