What is the Greatest Common Factor of 95256 and 95265?

Greatest common factor (GCF) of 95256 and 95265 is 9.

GCF(95256,95265) = 9

We will now calculate the prime factors of 95256 and 95265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95256 and 95265.

How to find the GCF of 95256 and 95265?

We will first find the prime factorization of 95256 and 95265. After we will calculate the factors of 95256 and 95265 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 95265

Prime factors of 95265 are 3, 5, 29, 73. Prime factorization of 95265 in exponential form is:

95265 = 3² × 5¹ × 29¹ × 73¹

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 95265

List of positive integer factors of 95265 that divides 95256 without a remainder.

1, 3, 5, 9, 15, 29, 45, 73, 87, 145, 219, 261, 365, 435, 657, 1095, 1305, 2117, 3285, 6351, 10585, 19053, 31755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95256 and 95265. The biggest common factor number is the GCF number.
So the greatest common factor 95256 and 95265 is 9.

Also check out the Least Common Multiple of 95256 and 95265