What is the Greatest Common Factor of 45058 and 45071?

Greatest common factor (GCF) of 45058 and 45071 is 13.

GCF(45058,45071) = 13

We will now calculate the prime factors of 45058 and 45071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45058 and 45071.

How to find the GCF of 45058 and 45071?

We will first find the prime factorization of 45058 and 45071. After we will calculate the factors of 45058 and 45071 and find the biggest common factor number .

Step-1: Prime Factorization of 45058

Prime factors of 45058 are 2, 13, 1733. Prime factorization of 45058 in exponential form is:

45058 = 2¹ × 13¹ × 1733¹

Step-2: Prime Factorization of 45071

Prime factors of 45071 are 13, 3467. Prime factorization of 45071 in exponential form is:

45071 = 13¹ × 3467¹

Step-3: Factors of 45058

List of positive integer factors of 45058 that divides 45058 without a remainder.

1, 2, 13, 26, 1733, 3466, 22529

Step-4: Factors of 45071

List of positive integer factors of 45071 that divides 45058 without a remainder.

1, 13, 3467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45058 and 45071. The biggest common factor number is the GCF number.
So the greatest common factor 45058 and 45071 is 13.

Also check out the Least Common Multiple of 45058 and 45071