What is the Greatest Common Factor of 95076 and 95091?

Greatest common factor (GCF) of 95076 and 95091 is 3.

GCF(95076,95091) = 3

We will now calculate the prime factors of 95076 and 95091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95076 and 95091.

How to find the GCF of 95076 and 95091?

We will first find the prime factorization of 95076 and 95091. After we will calculate the factors of 95076 and 95091 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 95091

Prime factors of 95091 are 3, 29, 1093. Prime factorization of 95091 in exponential form is:

95091 = 3¹ × 29¹ × 1093¹

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 95091

List of positive integer factors of 95091 that divides 95076 without a remainder.

1, 3, 29, 87, 1093, 3279, 31697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95076 and 95091. The biggest common factor number is the GCF number.
So the greatest common factor 95076 and 95091 is 3.

Also check out the Least Common Multiple of 95076 and 95091