What is the Greatest Common Factor of 36594 and 36613?

Greatest common factor (GCF) of 36594 and 36613 is 19.

GCF(36594,36613) = 19

We will now calculate the prime factors of 36594 and 36613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36594 and 36613.

How to find the GCF of 36594 and 36613?

We will first find the prime factorization of 36594 and 36613. After we will calculate the factors of 36594 and 36613 and find the biggest common factor number .

Step-1: Prime Factorization of 36594

Prime factors of 36594 are 2, 3, 19, 107. Prime factorization of 36594 in exponential form is:

36594 = 2¹ × 3² × 19¹ × 107¹

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 36594

List of positive integer factors of 36594 that divides 36594 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 107, 114, 171, 214, 321, 342, 642, 963, 1926, 2033, 4066, 6099, 12198, 18297

Step-4: Factors of 36613

List of positive integer factors of 36613 that divides 36594 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36594 and 36613. The biggest common factor number is the GCF number.
So the greatest common factor 36594 and 36613 is 19.

Also check out the Least Common Multiple of 36594 and 36613