What is the Greatest Common Factor of 59045 and 59065?

Greatest common factor (GCF) of 59045 and 59065 is 5.

GCF(59045,59065) = 5

We will now calculate the prime factors of 59045 and 59065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59045 and 59065.

How to find the GCF of 59045 and 59065?

We will first find the prime factorization of 59045 and 59065. After we will calculate the factors of 59045 and 59065 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 59065

Prime factors of 59065 are 5, 11813. Prime factorization of 59065 in exponential form is:

59065 = 5¹ × 11813¹

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 59065

List of positive integer factors of 59065 that divides 59045 without a remainder.

1, 5, 11813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59045 and 59065. The biggest common factor number is the GCF number.
So the greatest common factor 59045 and 59065 is 5.

Also check out the Least Common Multiple of 59045 and 59065