What is the Greatest Common Factor of 36688 and 36697?

Greatest common factor (GCF) of 36688 and 36697 is 1.

GCF(36688,36697) = 1

We will now calculate the prime factors of 36688 and 36697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36688 and 36697.

How to find the GCF of 36688 and 36697?

We will first find the prime factorization of 36688 and 36697. After we will calculate the factors of 36688 and 36697 and find the biggest common factor number .

Step-1: Prime Factorization of 36688

Prime factors of 36688 are 2, 2293. Prime factorization of 36688 in exponential form is:

36688 = 2⁴ × 2293¹

Step-2: Prime Factorization of 36697

Prime factors of 36697 are 36697. Prime factorization of 36697 in exponential form is:

36697 = 36697¹

Step-3: Factors of 36688

List of positive integer factors of 36688 that divides 36688 without a remainder.

1, 2, 4, 8, 16, 2293, 4586, 9172, 18344

Step-4: Factors of 36697

List of positive integer factors of 36697 that divides 36688 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36688 and 36697. The biggest common factor number is the GCF number.
So the greatest common factor 36688 and 36697 is 1.

Also check out the Least Common Multiple of 36688 and 36697