What is the Greatest Common Factor of 59685 and 59697?

Greatest common factor (GCF) of 59685 and 59697 is 3.

GCF(59685,59697) = 3

We will now calculate the prime factors of 59685 and 59697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59685 and 59697.

How to find the GCF of 59685 and 59697?

We will first find the prime factorization of 59685 and 59697. After we will calculate the factors of 59685 and 59697 and find the biggest common factor number .

Step-1: Prime Factorization of 59685

Prime factors of 59685 are 3, 5, 23, 173. Prime factorization of 59685 in exponential form is:

59685 = 3¹ × 5¹ × 23¹ × 173¹

Step-2: Prime Factorization of 59697

Prime factors of 59697 are 3, 11, 67. Prime factorization of 59697 in exponential form is:

59697 = 3⁴ × 11¹ × 67¹

Step-3: Factors of 59685

List of positive integer factors of 59685 that divides 59685 without a remainder.

1, 3, 5, 15, 23, 69, 115, 173, 345, 519, 865, 2595, 3979, 11937, 19895

Step-4: Factors of 59697

List of positive integer factors of 59697 that divides 59685 without a remainder.

1, 3, 9, 11, 27, 33, 67, 81, 99, 201, 297, 603, 737, 891, 1809, 2211, 5427, 6633, 19899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59685 and 59697. The biggest common factor number is the GCF number.
So the greatest common factor 59685 and 59697 is 3.

Also check out the Least Common Multiple of 59685 and 59697