What is the Greatest Common Factor of 95238 and 95249?

Greatest common factor (GCF) of 95238 and 95249 is 11.

GCF(95238,95249) = 11

We will now calculate the prime factors of 95238 and 95249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95238 and 95249.

How to find the GCF of 95238 and 95249?

We will first find the prime factorization of 95238 and 95249. After we will calculate the factors of 95238 and 95249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95249

Prime factors of 95249 are 7, 11, 1237. Prime factorization of 95249 in exponential form is:

95249 = 7¹ × 11¹ × 1237¹

Step-3: Factors of 95238

List of positive integer factors of 95238 that divides 95238 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

Step-4: Factors of 95249

List of positive integer factors of 95249 that divides 95238 without a remainder.

1, 7, 11, 77, 1237, 8659, 13607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95238 and 95249. The biggest common factor number is the GCF number.
So the greatest common factor 95238 and 95249 is 11.

Also check out the Least Common Multiple of 95238 and 95249