What is the Greatest Common Factor of 84225 and 84245?

Greatest common factor (GCF) of 84225 and 84245 is 5.

GCF(84225,84245) = 5

We will now calculate the prime factors of 84225 and 84245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84225 and 84245.

How to find the GCF of 84225 and 84245?

We will first find the prime factorization of 84225 and 84245. After we will calculate the factors of 84225 and 84245 and find the biggest common factor number .

Step-1: Prime Factorization of 84225

Prime factors of 84225 are 3, 5, 1123. Prime factorization of 84225 in exponential form is:

84225 = 3¹ × 5² × 1123¹

Step-2: Prime Factorization of 84245

Prime factors of 84245 are 5, 7, 29, 83. Prime factorization of 84245 in exponential form is:

84245 = 5¹ × 7¹ × 29¹ × 83¹

Step-3: Factors of 84225

List of positive integer factors of 84225 that divides 84225 without a remainder.

1, 3, 5, 15, 25, 75, 1123, 3369, 5615, 16845, 28075

Step-4: Factors of 84245

List of positive integer factors of 84245 that divides 84225 without a remainder.

1, 5, 7, 29, 35, 83, 145, 203, 415, 581, 1015, 2407, 2905, 12035, 16849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84225 and 84245. The biggest common factor number is the GCF number.
So the greatest common factor 84225 and 84245 is 5.

Also check out the Least Common Multiple of 84225 and 84245