What is the Greatest Common Factor of 75686 and 75699?

Greatest common factor (GCF) of 75686 and 75699 is 13.

GCF(75686,75699) = 13

We will now calculate the prime factors of 75686 and 75699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75686 and 75699.

How to find the GCF of 75686 and 75699?

We will first find the prime factorization of 75686 and 75699. After we will calculate the factors of 75686 and 75699 and find the biggest common factor number .

Step-1: Prime Factorization of 75686

Prime factors of 75686 are 2, 13, 41, 71. Prime factorization of 75686 in exponential form is:

75686 = 2¹ × 13¹ × 41¹ × 71¹

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 75686

List of positive integer factors of 75686 that divides 75686 without a remainder.

1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843

Step-4: Factors of 75699

List of positive integer factors of 75699 that divides 75686 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 75686 and 75699. The biggest common factor number is the GCF number.
So the greatest common factor 75686 and 75699 is 13.

Also check out the Least Common Multiple of 75686 and 75699