What is the Greatest Common Factor of 45162 and 45166?

Greatest common factor (GCF) of 45162 and 45166 is 2.

GCF(45162,45166) = 2

We will now calculate the prime factors of 45162 and 45166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45162 and 45166.

How to find the GCF of 45162 and 45166?

We will first find the prime factorization of 45162 and 45166. After we will calculate the factors of 45162 and 45166 and find the biggest common factor number .

Step-1: Prime Factorization of 45162

Prime factors of 45162 are 2, 3, 13, 193. Prime factorization of 45162 in exponential form is:

45162 = 2¹ × 3² × 13¹ × 193¹

Step-2: Prime Factorization of 45166

Prime factors of 45166 are 2, 11, 2053. Prime factorization of 45166 in exponential form is:

45166 = 2¹ × 11¹ × 2053¹

Step-3: Factors of 45162

List of positive integer factors of 45162 that divides 45162 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 193, 234, 386, 579, 1158, 1737, 2509, 3474, 5018, 7527, 15054, 22581

Step-4: Factors of 45166

List of positive integer factors of 45166 that divides 45162 without a remainder.

1, 2, 11, 22, 2053, 4106, 22583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45162 and 45166. The biggest common factor number is the GCF number.
So the greatest common factor 45162 and 45166 is 2.

Also check out the Least Common Multiple of 45162 and 45166