What is the Greatest Common Factor of 84450 and 84470?

Greatest common factor (GCF) of 84450 and 84470 is 10.

GCF(84450,84470) = 10

We will now calculate the prime factors of 84450 and 84470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84450 and 84470.

How to find the GCF of 84450 and 84470?

We will first find the prime factorization of 84450 and 84470. After we will calculate the factors of 84450 and 84470 and find the biggest common factor number .

Step-1: Prime Factorization of 84450

Prime factors of 84450 are 2, 3, 5, 563. Prime factorization of 84450 in exponential form is:

84450 = 2¹ × 3¹ × 5² × 563¹

Step-2: Prime Factorization of 84470

Prime factors of 84470 are 2, 5, 8447. Prime factorization of 84470 in exponential form is:

84470 = 2¹ × 5¹ × 8447¹

Step-3: Factors of 84450

List of positive integer factors of 84450 that divides 84450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 563, 1126, 1689, 2815, 3378, 5630, 8445, 14075, 16890, 28150, 42225

Step-4: Factors of 84470

List of positive integer factors of 84470 that divides 84450 without a remainder.

1, 2, 5, 10, 8447, 16894, 42235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84450 and 84470. The biggest common factor number is the GCF number.
So the greatest common factor 84450 and 84470 is 10.

Also check out the Least Common Multiple of 84450 and 84470