What is the Greatest Common Factor of 36595 and 36613?

Greatest common factor (GCF) of 36595 and 36613 is 1.

GCF(36595,36613) = 1

We will now calculate the prime factors of 36595 and 36613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36595 and 36613.

How to find the GCF of 36595 and 36613?

We will first find the prime factorization of 36595 and 36613. After we will calculate the factors of 36595 and 36613 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 36613

Prime factors of 36613 are 19, 41, 47. Prime factorization of 36613 in exponential form is:

36613 = 19¹ × 41¹ × 47¹

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 36613

List of positive integer factors of 36613 that divides 36595 without a remainder.

1, 19, 41, 47, 779, 893, 1927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36595 and 36613. The biggest common factor number is the GCF number.
So the greatest common factor 36595 and 36613 is 1.

Also check out the Least Common Multiple of 36595 and 36613