What is the Greatest Common Factor of 59035 and 59049?

Greatest common factor (GCF) of 59035 and 59049 is 1.

GCF(59035,59049) = 1

We will now calculate the prime factors of 59035 and 59049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59035 and 59049.

How to find the GCF of 59035 and 59049?

We will first find the prime factorization of 59035 and 59049. After we will calculate the factors of 59035 and 59049 and find the biggest common factor number .

Step-1: Prime Factorization of 59035

Prime factors of 59035 are 5, 11807. Prime factorization of 59035 in exponential form is:

59035 = 5¹ × 11807¹

Step-2: Prime Factorization of 59049

Prime factors of 59049 are 3. Prime factorization of 59049 in exponential form is:

59049 = 3¹⁰

Step-3: Factors of 59035

List of positive integer factors of 59035 that divides 59035 without a remainder.

1, 5, 11807

Step-4: Factors of 59049

List of positive integer factors of 59049 that divides 59035 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59035 and 59049. The biggest common factor number is the GCF number.
So the greatest common factor 59035 and 59049 is 1.

Also check out the Least Common Multiple of 59035 and 59049