What is the Greatest Common Factor of 84104 and 84114?

Greatest common factor (GCF) of 84104 and 84114 is 2.

GCF(84104,84114) = 2

We will now calculate the prime factors of 84104 and 84114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84104 and 84114.

How to find the GCF of 84104 and 84114?

We will first find the prime factorization of 84104 and 84114. After we will calculate the factors of 84104 and 84114 and find the biggest common factor number .

Step-1: Prime Factorization of 84104

Prime factors of 84104 are 2, 10513. Prime factorization of 84104 in exponential form is:

84104 = 2³ × 10513¹

Step-2: Prime Factorization of 84114

Prime factors of 84114 are 2, 3, 4673. Prime factorization of 84114 in exponential form is:

84114 = 2¹ × 3² × 4673¹

Step-3: Factors of 84104

List of positive integer factors of 84104 that divides 84104 without a remainder.

1, 2, 4, 8, 10513, 21026, 42052

Step-4: Factors of 84114

List of positive integer factors of 84114 that divides 84104 without a remainder.

1, 2, 3, 6, 9, 18, 4673, 9346, 14019, 28038, 42057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84104 and 84114. The biggest common factor number is the GCF number.
So the greatest common factor 84104 and 84114 is 2.

Also check out the Least Common Multiple of 84104 and 84114