What is the Greatest Common Factor of 59545 and 59565?

Greatest common factor (GCF) of 59545 and 59565 is 5.

GCF(59545,59565) = 5

We will now calculate the prime factors of 59545 and 59565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59545 and 59565.

How to find the GCF of 59545 and 59565?

We will first find the prime factorization of 59545 and 59565. After we will calculate the factors of 59545 and 59565 and find the biggest common factor number .

Step-1: Prime Factorization of 59545

Prime factors of 59545 are 5, 11909. Prime factorization of 59545 in exponential form is:

59545 = 5¹ × 11909¹

Step-2: Prime Factorization of 59565

Prime factors of 59565 are 3, 5, 11, 19. Prime factorization of 59565 in exponential form is:

59565 = 3¹ × 5¹ × 11¹ × 19²

Step-3: Factors of 59545

List of positive integer factors of 59545 that divides 59545 without a remainder.

1, 5, 11909

Step-4: Factors of 59565

List of positive integer factors of 59565 that divides 59545 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 361, 627, 1045, 1083, 1805, 3135, 3971, 5415, 11913, 19855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59545 and 59565. The biggest common factor number is the GCF number.
So the greatest common factor 59545 and 59565 is 5.

Also check out the Least Common Multiple of 59545 and 59565