What is the Greatest Common Factor of 45438 and 45450?

Greatest common factor (GCF) of 45438 and 45450 is 6.

GCF(45438,45450) = 6

We will now calculate the prime factors of 45438 and 45450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45438 and 45450.

How to find the GCF of 45438 and 45450?

We will first find the prime factorization of 45438 and 45450. After we will calculate the factors of 45438 and 45450 and find the biggest common factor number .

Step-1: Prime Factorization of 45438

Prime factors of 45438 are 2, 3, 7573. Prime factorization of 45438 in exponential form is:

45438 = 2¹ × 3¹ × 7573¹

Step-2: Prime Factorization of 45450

Prime factors of 45450 are 2, 3, 5, 101. Prime factorization of 45450 in exponential form is:

45450 = 2¹ × 3² × 5² × 101¹

Step-3: Factors of 45438

List of positive integer factors of 45438 that divides 45438 without a remainder.

1, 2, 3, 6, 7573, 15146, 22719

Step-4: Factors of 45450

List of positive integer factors of 45450 that divides 45438 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 101, 150, 202, 225, 303, 450, 505, 606, 909, 1010, 1515, 1818, 2525, 3030, 4545, 5050, 7575, 9090, 15150, 22725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45438 and 45450. The biggest common factor number is the GCF number.
So the greatest common factor 45438 and 45450 is 6.

Also check out the Least Common Multiple of 45438 and 45450