What is the Greatest Common Factor of 89450 and 89470?

Greatest common factor (GCF) of 89450 and 89470 is 10.

GCF(89450,89470) = 10

We will now calculate the prime factors of 89450 and 89470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89450 and 89470.

How to find the GCF of 89450 and 89470?

We will first find the prime factorization of 89450 and 89470. After we will calculate the factors of 89450 and 89470 and find the biggest common factor number .

Step-1: Prime Factorization of 89450

Prime factors of 89450 are 2, 5, 1789. Prime factorization of 89450 in exponential form is:

89450 = 2¹ × 5² × 1789¹

Step-2: Prime Factorization of 89470

Prime factors of 89470 are 2, 5, 23, 389. Prime factorization of 89470 in exponential form is:

89470 = 2¹ × 5¹ × 23¹ × 389¹

Step-3: Factors of 89450

List of positive integer factors of 89450 that divides 89450 without a remainder.

1, 2, 5, 10, 25, 50, 1789, 3578, 8945, 17890, 44725

Step-4: Factors of 89470

List of positive integer factors of 89470 that divides 89450 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 389, 778, 1945, 3890, 8947, 17894, 44735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89450 and 89470. The biggest common factor number is the GCF number.
So the greatest common factor 89450 and 89470 is 10.

Also check out the Least Common Multiple of 89450 and 89470