What is the Greatest Common Factor of 36588 and 36607?

Greatest common factor (GCF) of 36588 and 36607 is 1.

GCF(36588,36607) = 1

We will now calculate the prime factors of 36588 and 36607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36588 and 36607.

How to find the GCF of 36588 and 36607?

We will first find the prime factorization of 36588 and 36607. After we will calculate the factors of 36588 and 36607 and find the biggest common factor number .

Step-1: Prime Factorization of 36588

Prime factors of 36588 are 2, 3, 3049. Prime factorization of 36588 in exponential form is:

36588 = 2² × 3¹ × 3049¹

Step-2: Prime Factorization of 36607

Prime factors of 36607 are 36607. Prime factorization of 36607 in exponential form is:

36607 = 36607¹

Step-3: Factors of 36588

List of positive integer factors of 36588 that divides 36588 without a remainder.

1, 2, 3, 4, 6, 12, 3049, 6098, 9147, 12196, 18294

Step-4: Factors of 36607

List of positive integer factors of 36607 that divides 36588 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36588 and 36607. The biggest common factor number is the GCF number.
So the greatest common factor 36588 and 36607 is 1.

Also check out the Least Common Multiple of 36588 and 36607