What is the Greatest Common Factor of 95821 and 95832?

Greatest common factor (GCF) of 95821 and 95832 is 11.

GCF(95821,95832) = 11

We will now calculate the prime factors of 95821 and 95832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95821 and 95832.

How to find the GCF of 95821 and 95832?

We will first find the prime factorization of 95821 and 95832. After we will calculate the factors of 95821 and 95832 and find the biggest common factor number .

Step-1: Prime Factorization of 95821

Prime factors of 95821 are 11, 31, 281. Prime factorization of 95821 in exponential form is:

95821 = 11¹ × 31¹ × 281¹

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 95821

List of positive integer factors of 95821 that divides 95821 without a remainder.

1, 11, 31, 281, 341, 3091, 8711

Step-4: Factors of 95832

List of positive integer factors of 95832 that divides 95821 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 95821 and 95832. The biggest common factor number is the GCF number.
So the greatest common factor 95821 and 95832 is 11.

Also check out the Least Common Multiple of 95821 and 95832