What is the Greatest Common Factor of 84798 and 84808?

Greatest common factor (GCF) of 84798 and 84808 is 2.

GCF(84798,84808) = 2

We will now calculate the prime factors of 84798 and 84808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84798 and 84808.

How to find the GCF of 84798 and 84808?

We will first find the prime factorization of 84798 and 84808. After we will calculate the factors of 84798 and 84808 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 84808

Prime factors of 84808 are 2, 10601. Prime factorization of 84808 in exponential form is:

84808 = 2³ × 10601¹

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 84808

List of positive integer factors of 84808 that divides 84798 without a remainder.

1, 2, 4, 8, 10601, 21202, 42404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84798 and 84808. The biggest common factor number is the GCF number.
So the greatest common factor 84798 and 84808 is 2.

Also check out the Least Common Multiple of 84798 and 84808