What is the Greatest Common Factor of 95256 and 95271?

Greatest common factor (GCF) of 95256 and 95271 is 3.

GCF(95256,95271) = 3

We will now calculate the prime factors of 95256 and 95271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95256 and 95271.

How to find the GCF of 95256 and 95271?

We will first find the prime factorization of 95256 and 95271. After we will calculate the factors of 95256 and 95271 and find the biggest common factor number .

Step-1: Prime Factorization of 95256

Prime factors of 95256 are 2, 3, 7. Prime factorization of 95256 in exponential form is:

95256 = 2³ × 3⁵ × 7²

Step-2: Prime Factorization of 95271

Prime factors of 95271 are 3, 11, 2887. Prime factorization of 95271 in exponential form is:

95271 = 3¹ × 11¹ × 2887¹

Step-3: Factors of 95256

List of positive integer factors of 95256 that divides 95256 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 49, 54, 56, 63, 72, 81, 84, 98, 108, 126, 147, 162, 168, 189, 196, 216, 243, 252, 294, 324, 378, 392, 441, 486, 504, 567, 588, 648, 756, 882, 972, 1134, 1176, 1323, 1512, 1701, 1764, 1944, 2268, 2646, 3402, 3528, 3969, 4536, 5292, 6804, 7938, 10584, 11907, 13608, 15876, 23814, 31752, 47628

Step-4: Factors of 95271

List of positive integer factors of 95271 that divides 95256 without a remainder.

1, 3, 11, 33, 2887, 8661, 31757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95256 and 95271. The biggest common factor number is the GCF number.
So the greatest common factor 95256 and 95271 is 3.

Also check out the Least Common Multiple of 95256 and 95271