What is the Greatest Common Factor of 84450 and 84465?

Greatest common factor (GCF) of 84450 and 84465 is 15.

GCF(84450,84465) = 15

We will now calculate the prime factors of 84450 and 84465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84450 and 84465.

How to find the GCF of 84450 and 84465?

We will first find the prime factorization of 84450 and 84465. After we will calculate the factors of 84450 and 84465 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 84465

Prime factors of 84465 are 3, 5, 1877. Prime factorization of 84465 in exponential form is:

84465 = 3² × 5¹ × 1877¹

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 84465

List of positive integer factors of 84465 that divides 84450 without a remainder.

1, 3, 5, 9, 15, 45, 1877, 5631, 9385, 16893, 28155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84450 and 84465. The biggest common factor number is the GCF number.
So the greatest common factor 84450 and 84465 is 15.

Also check out the Least Common Multiple of 84450 and 84465