What is the Greatest Common Factor of 45162 and 45175?

Greatest common factor (GCF) of 45162 and 45175 is 13.

GCF(45162,45175) = 13

We will now calculate the prime factors of 45162 and 45175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45162 and 45175.

How to find the GCF of 45162 and 45175?

We will first find the prime factorization of 45162 and 45175. After we will calculate the factors of 45162 and 45175 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 45175

Prime factors of 45175 are 5, 13, 139. Prime factorization of 45175 in exponential form is:

45175 = 5² × 13¹ × 139¹

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 45175

List of positive integer factors of 45175 that divides 45162 without a remainder.

1, 5, 13, 25, 65, 139, 325, 695, 1807, 3475, 9035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45162 and 45175. The biggest common factor number is the GCF number.
So the greatest common factor 45162 and 45175 is 13.

Also check out the Least Common Multiple of 45162 and 45175