What is the Greatest Common Factor of 95076 and 95094?

Greatest common factor (GCF) of 95076 and 95094 is 18.

GCF(95076,95094) = 18

We will now calculate the prime factors of 95076 and 95094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95076 and 95094.

How to find the GCF of 95076 and 95094?

We will first find the prime factorization of 95076 and 95094. After we will calculate the factors of 95076 and 95094 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 95094

Prime factors of 95094 are 2, 3, 587. Prime factorization of 95094 in exponential form is:

95094 = 2¹ × 3⁴ × 587¹

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 95094

List of positive integer factors of 95094 that divides 95076 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 587, 1174, 1761, 3522, 5283, 10566, 15849, 31698, 47547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95076 and 95094. The biggest common factor number is the GCF number.
So the greatest common factor 95076 and 95094 is 18.

Also check out the Least Common Multiple of 95076 and 95094