What is the Greatest Common Factor of 95828 and 95832?

Greatest common factor (GCF) of 95828 and 95832 is 4.

GCF(95828,95832) = 4

We will now calculate the prime factors of 95828 and 95832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95828 and 95832.

How to find the GCF of 95828 and 95832?

We will first find the prime factorization of 95828 and 95832. After we will calculate the factors of 95828 and 95832 and find the biggest common factor number .

Step-1: Prime Factorization of 95828

Prime factors of 95828 are 2, 23957. Prime factorization of 95828 in exponential form is:

95828 = 2² × 23957¹

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 95828

List of positive integer factors of 95828 that divides 95828 without a remainder.

1, 2, 4, 23957, 47914

Step-4: Factors of 95832

List of positive integer factors of 95832 that divides 95828 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 95828 and 95832. The biggest common factor number is the GCF number.
So the greatest common factor 95828 and 95832 is 4.

Also check out the Least Common Multiple of 95828 and 95832