What is the Greatest Common Factor of 75087 and 75102?

Greatest common factor (GCF) of 75087 and 75102 is 3.

GCF(75087,75102) = 3

We will now calculate the prime factors of 75087 and 75102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75087 and 75102.

How to find the GCF of 75087 and 75102?

We will first find the prime factorization of 75087 and 75102. After we will calculate the factors of 75087 and 75102 and find the biggest common factor number .

Step-1: Prime Factorization of 75087

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

75087 = 3⁶ × 103¹

Step-2: Prime Factorization of 75102

Prime factors of 75102 are 2, 3, 12517. Prime factorization of 75102 in exponential form is:

75102 = 2¹ × 3¹ × 12517¹

Step-3: Factors of 75087

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

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

Step-4: Factors of 75102

List of positive integer factors of 75102 that divides 75087 without a remainder.

1, 2, 3, 6, 12517, 25034, 37551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75087 and 75102. The biggest common factor number is the GCF number.
So the greatest common factor 75087 and 75102 is 3.

Also check out the Least Common Multiple of 75087 and 75102