What is the Greatest Common Factor of 45375 and 45390?

Greatest common factor (GCF) of 45375 and 45390 is 15.

GCF(45375,45390) = 15

We will now calculate the prime factors of 45375 and 45390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45375 and 45390.

How to find the GCF of 45375 and 45390?

We will first find the prime factorization of 45375 and 45390. After we will calculate the factors of 45375 and 45390 and find the biggest common factor number .

Step-1: Prime Factorization of 45375

Prime factors of 45375 are 3, 5, 11. Prime factorization of 45375 in exponential form is:

45375 = 3¹ × 5³ × 11²

Step-2: Prime Factorization of 45390

Prime factors of 45390 are 2, 3, 5, 17, 89. Prime factorization of 45390 in exponential form is:

45390 = 2¹ × 3¹ × 5¹ × 17¹ × 89¹

Step-3: Factors of 45375

List of positive integer factors of 45375 that divides 45375 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 125, 165, 275, 363, 375, 605, 825, 1375, 1815, 3025, 4125, 9075, 15125

Step-4: Factors of 45390

List of positive integer factors of 45390 that divides 45375 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 89, 102, 170, 178, 255, 267, 445, 510, 534, 890, 1335, 1513, 2670, 3026, 4539, 7565, 9078, 15130, 22695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45375 and 45390. The biggest common factor number is the GCF number.
So the greatest common factor 45375 and 45390 is 15.

Also check out the Least Common Multiple of 45375 and 45390