What is the Greatest Common Factor of 84805 and 84815?

Greatest common factor (GCF) of 84805 and 84815 is 5.

GCF(84805,84815) = 5

We will now calculate the prime factors of 84805 and 84815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84805 and 84815.

How to find the GCF of 84805 and 84815?

We will first find the prime factorization of 84805 and 84815. After we will calculate the factors of 84805 and 84815 and find the biggest common factor number .

Step-1: Prime Factorization of 84805

Prime factors of 84805 are 5, 7, 2423. Prime factorization of 84805 in exponential form is:

84805 = 5¹ × 7¹ × 2423¹

Step-2: Prime Factorization of 84815

Prime factors of 84815 are 5, 16963. Prime factorization of 84815 in exponential form is:

84815 = 5¹ × 16963¹

Step-3: Factors of 84805

List of positive integer factors of 84805 that divides 84805 without a remainder.

1, 5, 7, 35, 2423, 12115, 16961

Step-4: Factors of 84815

List of positive integer factors of 84815 that divides 84805 without a remainder.

1, 5, 16963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84805 and 84815. The biggest common factor number is the GCF number.
So the greatest common factor 84805 and 84815 is 5.

Also check out the Least Common Multiple of 84805 and 84815