What is the Greatest Common Factor of 75694 and 75699?

Greatest common factor (GCF) of 75694 and 75699 is 1.

GCF(75694,75699) = 1

We will now calculate the prime factors of 75694 and 75699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75694 and 75699.

How to find the GCF of 75694 and 75699?

We will first find the prime factorization of 75694 and 75699. After we will calculate the factors of 75694 and 75699 and find the biggest common factor number .

Step-1: Prime Factorization of 75694

Prime factors of 75694 are 2, 37847. Prime factorization of 75694 in exponential form is:

75694 = 2¹ × 37847¹

Step-2: Prime Factorization of 75699

Prime factors of 75699 are 3, 13, 647. Prime factorization of 75699 in exponential form is:

75699 = 3² × 13¹ × 647¹

Step-3: Factors of 75694

List of positive integer factors of 75694 that divides 75694 without a remainder.

1, 2, 37847

Step-4: Factors of 75699

List of positive integer factors of 75699 that divides 75694 without a remainder.

1, 3, 9, 13, 39, 117, 647, 1941, 5823, 8411, 25233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75694 and 75699. The biggest common factor number is the GCF number.
So the greatest common factor 75694 and 75699 is 1.

Also check out the Least Common Multiple of 75694 and 75699