What is the Greatest Common Factor of 95256 and 95274?

Greatest common factor (GCF) of 95256 and 95274 is 18.

GCF(95256,95274) = 18

We will now calculate the prime factors of 95256 and 95274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95256 and 95274.

How to find the GCF of 95256 and 95274?

We will first find the prime factorization of 95256 and 95274. After we will calculate the factors of 95256 and 95274 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 95274

Prime factors of 95274 are 2, 3, 67, 79. Prime factorization of 95274 in exponential form is:

95274 = 2¹ × 3² × 67¹ × 79¹

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 95274

List of positive integer factors of 95274 that divides 95256 without a remainder.

1, 2, 3, 6, 9, 18, 67, 79, 134, 158, 201, 237, 402, 474, 603, 711, 1206, 1422, 5293, 10586, 15879, 31758, 47637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95256 and 95274. The biggest common factor number is the GCF number.
So the greatest common factor 95256 and 95274 is 18.

Also check out the Least Common Multiple of 95256 and 95274