What is the Greatest Common Factor of 59697 and 59707?

Greatest common factor (GCF) of 59697 and 59707 is 1.

GCF(59697,59707) = 1

We will now calculate the prime factors of 59697 and 59707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59697 and 59707.

How to find the GCF of 59697 and 59707?

We will first find the prime factorization of 59697 and 59707. After we will calculate the factors of 59697 and 59707 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59707

Prime factors of 59707 are 59707. Prime factorization of 59707 in exponential form is:

59707 = 59707¹

Step-3: Factors of 59697

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

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

Step-4: Factors of 59707

List of positive integer factors of 59707 that divides 59697 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59697 and 59707. The biggest common factor number is the GCF number.
So the greatest common factor 59697 and 59707 is 1.

Also check out the Least Common Multiple of 59697 and 59707