What is the Greatest Common Factor of 84798 and 84805?

Greatest common factor (GCF) of 84798 and 84805 is 7.

GCF(84798,84805) = 7

We will now calculate the prime factors of 84798 and 84805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84798 and 84805.

How to find the GCF of 84798 and 84805?

We will first find the prime factorization of 84798 and 84805. After we will calculate the factors of 84798 and 84805 and find the biggest common factor number .

Step-1: Prime Factorization of 84798

Prime factors of 84798 are 2, 3, 7, 673. Prime factorization of 84798 in exponential form is:

84798 = 2¹ × 3² × 7¹ × 673¹

Step-2: 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-3: Factors of 84798

List of positive integer factors of 84798 that divides 84798 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 673, 1346, 2019, 4038, 4711, 6057, 9422, 12114, 14133, 28266, 42399

Step-4: Factors of 84805

List of positive integer factors of 84805 that divides 84798 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84798 and 84805. The biggest common factor number is the GCF number.
So the greatest common factor 84798 and 84805 is 7.

Also check out the Least Common Multiple of 84798 and 84805