What is the Greatest Common Factor of 84450 and 84460?

Greatest common factor (GCF) of 84450 and 84460 is 10.

GCF(84450,84460) = 10

We will now calculate the prime factors of 84450 and 84460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84450 and 84460.

How to find the GCF of 84450 and 84460?

We will first find the prime factorization of 84450 and 84460. After we will calculate the factors of 84450 and 84460 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 84460

Prime factors of 84460 are 2, 5, 41, 103. Prime factorization of 84460 in exponential form is:

84460 = 2² × 5¹ × 41¹ × 103¹

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 84460

List of positive integer factors of 84460 that divides 84450 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 103, 164, 205, 206, 410, 412, 515, 820, 1030, 2060, 4223, 8446, 16892, 21115, 42230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84450 and 84460. The biggest common factor number is the GCF number.
So the greatest common factor 84450 and 84460 is 10.

Also check out the Least Common Multiple of 84450 and 84460