What is the Greatest Common Factor of 45364 and 45375?

Greatest common factor (GCF) of 45364 and 45375 is 11.

GCF(45364,45375) = 11

We will now calculate the prime factors of 45364 and 45375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45364 and 45375.

How to find the GCF of 45364 and 45375?

We will first find the prime factorization of 45364 and 45375. After we will calculate the factors of 45364 and 45375 and find the biggest common factor number .

Step-1: Prime Factorization of 45364

Prime factors of 45364 are 2, 11, 1031. Prime factorization of 45364 in exponential form is:

45364 = 2² × 11¹ × 1031¹

Step-2: 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-3: Factors of 45364

List of positive integer factors of 45364 that divides 45364 without a remainder.

1, 2, 4, 11, 22, 44, 1031, 2062, 4124, 11341, 22682

Step-4: Factors of 45375

List of positive integer factors of 45375 that divides 45364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45364 and 45375. The biggest common factor number is the GCF number.
So the greatest common factor 45364 and 45375 is 11.

Also check out the Least Common Multiple of 45364 and 45375