What is the Greatest Common Factor of 95820 and 95832?

Greatest common factor (GCF) of 95820 and 95832 is 12.

GCF(95820,95832) = 12

We will now calculate the prime factors of 95820 and 95832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95820 and 95832.

How to find the GCF of 95820 and 95832?

We will first find the prime factorization of 95820 and 95832. After we will calculate the factors of 95820 and 95832 and find the biggest common factor number .

Step-1: Prime Factorization of 95820

Prime factors of 95820 are 2, 3, 5, 1597. Prime factorization of 95820 in exponential form is:

95820 = 2² × 3¹ × 5¹ × 1597¹

Step-2: 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-3: Factors of 95820

List of positive integer factors of 95820 that divides 95820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1597, 3194, 4791, 6388, 7985, 9582, 15970, 19164, 23955, 31940, 47910

Step-4: Factors of 95832

List of positive integer factors of 95832 that divides 95820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95820 and 95832. The biggest common factor number is the GCF number.
So the greatest common factor 95820 and 95832 is 12.

Also check out the Least Common Multiple of 95820 and 95832