What is the Greatest Common Factor of 95229 and 95238?

Greatest common factor (GCF) of 95229 and 95238 is 9.

GCF(95229,95238) = 9

We will now calculate the prime factors of 95229 and 95238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95229 and 95238.

How to find the GCF of 95229 and 95238?

We will first find the prime factorization of 95229 and 95238. After we will calculate the factors of 95229 and 95238 and find the biggest common factor number .

Step-1: Prime Factorization of 95229

Prime factors of 95229 are 3, 3527. Prime factorization of 95229 in exponential form is:

95229 = 3³ × 3527¹

Step-2: Prime Factorization of 95238

Prime factors of 95238 are 2, 3, 11, 13, 37. Prime factorization of 95238 in exponential form is:

95238 = 2¹ × 3² × 11¹ × 13¹ × 37¹

Step-3: Factors of 95229

List of positive integer factors of 95229 that divides 95229 without a remainder.

1, 3, 9, 27, 3527, 10581, 31743

Step-4: Factors of 95238

List of positive integer factors of 95238 that divides 95229 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 37, 39, 66, 74, 78, 99, 111, 117, 143, 198, 222, 234, 286, 333, 407, 429, 481, 666, 814, 858, 962, 1221, 1287, 1443, 2442, 2574, 2886, 3663, 4329, 5291, 7326, 8658, 10582, 15873, 31746, 47619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95229 and 95238. The biggest common factor number is the GCF number.
So the greatest common factor 95229 and 95238 is 9.

Also check out the Least Common Multiple of 95229 and 95238