What is the Greatest Common Factor of 75678 and 75687?

Greatest common factor (GCF) of 75678 and 75687 is 3.

GCF(75678,75687) = 3

We will now calculate the prime factors of 75678 and 75687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75678 and 75687.

How to find the GCF of 75678 and 75687?

We will first find the prime factorization of 75678 and 75687. After we will calculate the factors of 75678 and 75687 and find the biggest common factor number .

Step-1: Prime Factorization of 75678

Prime factors of 75678 are 2, 3, 12613. Prime factorization of 75678 in exponential form is:

75678 = 2¹ × 3¹ × 12613¹

Step-2: Prime Factorization of 75687

Prime factors of 75687 are 3, 25229. Prime factorization of 75687 in exponential form is:

75687 = 3¹ × 25229¹

Step-3: Factors of 75678

List of positive integer factors of 75678 that divides 75678 without a remainder.

1, 2, 3, 6, 12613, 25226, 37839

Step-4: Factors of 75687

List of positive integer factors of 75687 that divides 75678 without a remainder.

1, 3, 25229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75678 and 75687. The biggest common factor number is the GCF number.
So the greatest common factor 75678 and 75687 is 3.

Also check out the Least Common Multiple of 75678 and 75687