What is the Greatest Common Factor of 84098 and 84112?

Greatest common factor (GCF) of 84098 and 84112 is 14.

GCF(84098,84112) = 14

We will now calculate the prime factors of 84098 and 84112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84098 and 84112.

How to find the GCF of 84098 and 84112?

We will first find the prime factorization of 84098 and 84112. After we will calculate the factors of 84098 and 84112 and find the biggest common factor number .

Step-1: Prime Factorization of 84098

Prime factors of 84098 are 2, 7, 6007. Prime factorization of 84098 in exponential form is:

84098 = 2¹ × 7¹ × 6007¹

Step-2: Prime Factorization of 84112

Prime factors of 84112 are 2, 7, 751. Prime factorization of 84112 in exponential form is:

84112 = 2⁴ × 7¹ × 751¹

Step-3: Factors of 84098

List of positive integer factors of 84098 that divides 84098 without a remainder.

1, 2, 7, 14, 6007, 12014, 42049

Step-4: Factors of 84112

List of positive integer factors of 84112 that divides 84098 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 751, 1502, 3004, 5257, 6008, 10514, 12016, 21028, 42056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84098 and 84112. The biggest common factor number is the GCF number.
So the greatest common factor 84098 and 84112 is 14.

Also check out the Least Common Multiple of 84098 and 84112