What is the Greatest Common Factor of 45390 and 45400?

Greatest common factor (GCF) of 45390 and 45400 is 10.

GCF(45390,45400) = 10

We will now calculate the prime factors of 45390 and 45400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45390 and 45400.

How to find the GCF of 45390 and 45400?

We will first find the prime factorization of 45390 and 45400. After we will calculate the factors of 45390 and 45400 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 45400

Prime factors of 45400 are 2, 5, 227. Prime factorization of 45400 in exponential form is:

45400 = 2³ × 5² × 227¹

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 45400

List of positive integer factors of 45400 that divides 45390 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 227, 454, 908, 1135, 1816, 2270, 4540, 5675, 9080, 11350, 22700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45390 and 45400. The biggest common factor number is the GCF number.
So the greatest common factor 45390 and 45400 is 10.

Also check out the Least Common Multiple of 45390 and 45400