What is the Greatest Common Factor of 45390 and 45399?

Greatest common factor (GCF) of 45390 and 45399 is 3.

GCF(45390,45399) = 3

We will now calculate the prime factors of 45390 and 45399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45390 and 45399.

How to find the GCF of 45390 and 45399?

We will first find the prime factorization of 45390 and 45399. After we will calculate the factors of 45390 and 45399 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45399

Prime factors of 45399 are 3, 37, 409. Prime factorization of 45399 in exponential form is:

45399 = 3¹ × 37¹ × 409¹

Step-3: Factors of 45390

List of positive integer factors of 45390 that divides 45390 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

Step-4: Factors of 45399

List of positive integer factors of 45399 that divides 45390 without a remainder.

1, 3, 37, 111, 409, 1227, 15133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45390 and 45399. The biggest common factor number is the GCF number.
So the greatest common factor 45390 and 45399 is 3.

Also check out the Least Common Multiple of 45390 and 45399