What is the Greatest Common Factor of 95076 and 95095?

Greatest common factor (GCF) of 95076 and 95095 is 19.

GCF(95076,95095) = 19

We will now calculate the prime factors of 95076 and 95095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95076 and 95095.

How to find the GCF of 95076 and 95095?

We will first find the prime factorization of 95076 and 95095. After we will calculate the factors of 95076 and 95095 and find the biggest common factor number .

Step-1: Prime Factorization of 95076

Prime factors of 95076 are 2, 3, 19, 139. Prime factorization of 95076 in exponential form is:

95076 = 2² × 3² × 19¹ × 139¹

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 95076

List of positive integer factors of 95076 that divides 95076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 139, 171, 228, 278, 342, 417, 556, 684, 834, 1251, 1668, 2502, 2641, 5004, 5282, 7923, 10564, 15846, 23769, 31692, 47538

Step-4: Factors of 95095

List of positive integer factors of 95095 that divides 95076 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 95076 and 95095. The biggest common factor number is the GCF number.
So the greatest common factor 95076 and 95095 is 19.

Also check out the Least Common Multiple of 95076 and 95095