What is the Greatest Common Factor of 59697 and 59703?

Greatest common factor (GCF) of 59697 and 59703 is 3.

GCF(59697,59703) = 3

We will now calculate the prime factors of 59697 and 59703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59697 and 59703.

How to find the GCF of 59697 and 59703?

We will first find the prime factorization of 59697 and 59703. After we will calculate the factors of 59697 and 59703 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 59703

Prime factors of 59703 are 3, 7, 2843. Prime factorization of 59703 in exponential form is:

59703 = 3¹ × 7¹ × 2843¹

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 59703

List of positive integer factors of 59703 that divides 59697 without a remainder.

1, 3, 7, 21, 2843, 8529, 19901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59697 and 59703. The biggest common factor number is the GCF number.
So the greatest common factor 59697 and 59703 is 3.

Also check out the Least Common Multiple of 59697 and 59703