What is the Greatest Common Factor of 95082 and 95095?

Greatest common factor (GCF) of 95082 and 95095 is 13.

GCF(95082,95095) = 13

We will now calculate the prime factors of 95082 and 95095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95082 and 95095.

How to find the GCF of 95082 and 95095?

We will first find the prime factorization of 95082 and 95095. After we will calculate the factors of 95082 and 95095 and find the biggest common factor number .

Step-1: Prime Factorization of 95082

Prime factors of 95082 are 2, 3, 13, 23, 53. Prime factorization of 95082 in exponential form is:

95082 = 2¹ × 3¹ × 13¹ × 23¹ × 53¹

Step-2: Prime Factorization of 95095

Prime factors of 95095 are 5, 7, 11, 13, 19. Prime factorization of 95095 in exponential form is:

95095 = 5¹ × 7¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 95082

List of positive integer factors of 95082 that divides 95082 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 53, 69, 78, 106, 138, 159, 299, 318, 598, 689, 897, 1219, 1378, 1794, 2067, 2438, 3657, 4134, 7314, 15847, 31694, 47541

Step-4: Factors of 95095

List of positive integer factors of 95095 that divides 95082 without a remainder.

1, 5, 7, 11, 13, 19, 35, 55, 65, 77, 91, 95, 133, 143, 209, 247, 385, 455, 665, 715, 1001, 1045, 1235, 1463, 1729, 2717, 5005, 7315, 8645, 13585, 19019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95082 and 95095. The biggest common factor number is the GCF number.
So the greatest common factor 95082 and 95095 is 13.

Also check out the Least Common Multiple of 95082 and 95095