What is the Greatest Common Factor of 45378 and 45390?

Greatest common factor (GCF) of 45378 and 45390 is 6.

GCF(45378,45390) = 6

We will now calculate the prime factors of 45378 and 45390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45378 and 45390.

How to find the GCF of 45378 and 45390?

We will first find the prime factorization of 45378 and 45390. After we will calculate the factors of 45378 and 45390 and find the biggest common factor number .

Step-1: Prime Factorization of 45378

Prime factors of 45378 are 2, 3, 2521. Prime factorization of 45378 in exponential form is:

45378 = 2¹ × 3² × 2521¹

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 45378

List of positive integer factors of 45378 that divides 45378 without a remainder.

1, 2, 3, 6, 9, 18, 2521, 5042, 7563, 15126, 22689

Step-4: Factors of 45390

List of positive integer factors of 45390 that divides 45378 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 45378 and 45390. The biggest common factor number is the GCF number.
So the greatest common factor 45378 and 45390 is 6.

Also check out the Least Common Multiple of 45378 and 45390