What is the Greatest Common Factor of 75688 and 75699?

Greatest common factor (GCF) of 75688 and 75699 is 1.

GCF(75688,75699) = 1

We will now calculate the prime factors of 75688 and 75699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75688 and 75699.

How to find the GCF of 75688 and 75699?

We will first find the prime factorization of 75688 and 75699. After we will calculate the factors of 75688 and 75699 and find the biggest common factor number .

Step-1: Prime Factorization of 75688

Prime factors of 75688 are 2, 9461. Prime factorization of 75688 in exponential form is:

75688 = 2³ × 9461¹

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 75688

List of positive integer factors of 75688 that divides 75688 without a remainder.

1, 2, 4, 8, 9461, 18922, 37844

Step-4: Factors of 75699

List of positive integer factors of 75699 that divides 75688 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 75688 and 75699. The biggest common factor number is the GCF number.
So the greatest common factor 75688 and 75699 is 1.

Also check out the Least Common Multiple of 75688 and 75699