What is the Greatest Common Factor of 45375 and 45395?

Greatest common factor (GCF) of 45375 and 45395 is 5.

GCF(45375,45395) = 5

We will now calculate the prime factors of 45375 and 45395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45375 and 45395.

How to find the GCF of 45375 and 45395?

We will first find the prime factorization of 45375 and 45395. After we will calculate the factors of 45375 and 45395 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 45395

Prime factors of 45395 are 5, 7, 1297. Prime factorization of 45395 in exponential form is:

45395 = 5¹ × 7¹ × 1297¹

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 45395

List of positive integer factors of 45395 that divides 45375 without a remainder.

1, 5, 7, 35, 1297, 6485, 9079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45375 and 45395. The biggest common factor number is the GCF number.
So the greatest common factor 45375 and 45395 is 5.

Also check out the Least Common Multiple of 45375 and 45395