What is the Greatest Common Factor of 45058 and 45062?

Greatest common factor (GCF) of 45058 and 45062 is 2.

GCF(45058,45062) = 2

We will now calculate the prime factors of 45058 and 45062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45058 and 45062.

How to find the GCF of 45058 and 45062?

We will first find the prime factorization of 45058 and 45062. After we will calculate the factors of 45058 and 45062 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 45062

Prime factors of 45062 are 2, 22531. Prime factorization of 45062 in exponential form is:

45062 = 2¹ × 22531¹

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 45062

List of positive integer factors of 45062 that divides 45058 without a remainder.

1, 2, 22531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45058 and 45062. The biggest common factor number is the GCF number.
So the greatest common factor 45058 and 45062 is 2.

Also check out the Least Common Multiple of 45058 and 45062