What is the Greatest Common Factor of 59031 and 59045?

Greatest common factor (GCF) of 59031 and 59045 is 7.

GCF(59031,59045) = 7

We will now calculate the prime factors of 59031 and 59045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59031 and 59045.

How to find the GCF of 59031 and 59045?

We will first find the prime factorization of 59031 and 59045. After we will calculate the factors of 59031 and 59045 and find the biggest common factor number .

Step-1: Prime Factorization of 59031

Prime factors of 59031 are 3, 7, 937. Prime factorization of 59031 in exponential form is:

59031 = 3² × 7¹ × 937¹

Step-2: 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-3: Factors of 59031

List of positive integer factors of 59031 that divides 59031 without a remainder.

1, 3, 7, 9, 21, 63, 937, 2811, 6559, 8433, 19677

Step-4: Factors of 59045

List of positive integer factors of 59045 that divides 59031 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59031 and 59045. The biggest common factor number is the GCF number.
So the greatest common factor 59031 and 59045 is 7.

Also check out the Least Common Multiple of 59031 and 59045