What is the Greatest Common Factor of 59551 and 59565?

Greatest common factor (GCF) of 59551 and 59565 is 1.

GCF(59551,59565) = 1

We will now calculate the prime factors of 59551 and 59565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59551 and 59565.

How to find the GCF of 59551 and 59565?

We will first find the prime factorization of 59551 and 59565. After we will calculate the factors of 59551 and 59565 and find the biggest common factor number .

Step-1: Prime Factorization of 59551

Prime factors of 59551 are 17, 31, 113. Prime factorization of 59551 in exponential form is:

59551 = 17¹ × 31¹ × 113¹

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 59551

List of positive integer factors of 59551 that divides 59551 without a remainder.

1, 17, 31, 113, 527, 1921, 3503

Step-4: Factors of 59565

List of positive integer factors of 59565 that divides 59551 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 59551 and 59565. The biggest common factor number is the GCF number.
So the greatest common factor 59551 and 59565 is 1.

Also check out the Least Common Multiple of 59551 and 59565