What is the Greatest Common Factor of 59045 and 59061?

Greatest common factor (GCF) of 59045 and 59061 is 1.

GCF(59045,59061) = 1

We will now calculate the prime factors of 59045 and 59061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59045 and 59061.

How to find the GCF of 59045 and 59061?

We will first find the prime factorization of 59045 and 59061. After we will calculate the factors of 59045 and 59061 and find the biggest common factor number .

Step-1: Prime Factorization of 59045

Prime factors of 59045 are 5, 7, 241. Prime factorization of 59045 in exponential form is:

59045 = 5¹ × 7² × 241¹

Step-2: Prime Factorization of 59061

Prime factors of 59061 are 3, 19687. Prime factorization of 59061 in exponential form is:

59061 = 3¹ × 19687¹

Step-3: Factors of 59045

List of positive integer factors of 59045 that divides 59045 without a remainder.

1, 5, 7, 35, 49, 241, 245, 1205, 1687, 8435, 11809

Step-4: Factors of 59061

List of positive integer factors of 59061 that divides 59045 without a remainder.

1, 3, 19687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59045 and 59061. The biggest common factor number is the GCF number.
So the greatest common factor 59045 and 59061 is 1.

Also check out the Least Common Multiple of 59045 and 59061