What is the Greatest Common Factor of 36595 and 36607?

Greatest common factor (GCF) of 36595 and 36607 is 1.

GCF(36595,36607) = 1

We will now calculate the prime factors of 36595 and 36607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36595 and 36607.

How to find the GCF of 36595 and 36607?

We will first find the prime factorization of 36595 and 36607. After we will calculate the factors of 36595 and 36607 and find the biggest common factor number .

Step-1: Prime Factorization of 36595

Prime factors of 36595 are 5, 13, 563. Prime factorization of 36595 in exponential form is:

36595 = 5¹ × 13¹ × 563¹

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 36595

List of positive integer factors of 36595 that divides 36595 without a remainder.

1, 5, 13, 65, 563, 2815, 7319

Step-4: Factors of 36607

List of positive integer factors of 36607 that divides 36595 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36595 and 36607. The biggest common factor number is the GCF number.
So the greatest common factor 36595 and 36607 is 1.

Also check out the Least Common Multiple of 36595 and 36607