What is the Greatest Common Factor of 75078 and 75087?

Greatest common factor (GCF) of 75078 and 75087 is 9.

GCF(75078,75087) = 9

We will now calculate the prime factors of 75078 and 75087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75078 and 75087.

How to find the GCF of 75078 and 75087?

We will first find the prime factorization of 75078 and 75087. After we will calculate the factors of 75078 and 75087 and find the biggest common factor number .

Step-1: Prime Factorization of 75078

Prime factors of 75078 are 2, 3, 43, 97. Prime factorization of 75078 in exponential form is:

75078 = 2¹ × 3² × 43¹ × 97¹

Step-2: Prime Factorization of 75087

Prime factors of 75087 are 3, 103. Prime factorization of 75087 in exponential form is:

75087 = 3⁶ × 103¹

Step-3: Factors of 75078

List of positive integer factors of 75078 that divides 75078 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 97, 129, 194, 258, 291, 387, 582, 774, 873, 1746, 4171, 8342, 12513, 25026, 37539

Step-4: Factors of 75087

List of positive integer factors of 75087 that divides 75078 without a remainder.

1, 3, 9, 27, 81, 103, 243, 309, 729, 927, 2781, 8343, 25029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75078 and 75087. The biggest common factor number is the GCF number.
So the greatest common factor 75078 and 75087 is 9.

Also check out the Least Common Multiple of 75078 and 75087