What is the Greatest Common Factor of 45375 and 45386?

Greatest common factor (GCF) of 45375 and 45386 is 11.

GCF(45375,45386) = 11

We will now calculate the prime factors of 45375 and 45386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45375 and 45386.

How to find the GCF of 45375 and 45386?

We will first find the prime factorization of 45375 and 45386. After we will calculate the factors of 45375 and 45386 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 45386

Prime factors of 45386 are 2, 11, 2063. Prime factorization of 45386 in exponential form is:

45386 = 2¹ × 11¹ × 2063¹

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 45386

List of positive integer factors of 45386 that divides 45375 without a remainder.

1, 2, 11, 22, 2063, 4126, 22693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45375 and 45386. The biggest common factor number is the GCF number.
So the greatest common factor 45375 and 45386 is 11.

Also check out the Least Common Multiple of 45375 and 45386