What is the Greatest Common Factor of 84194 and 84208?

Greatest common factor (GCF) of 84194 and 84208 is 2.

GCF(84194,84208) = 2

We will now calculate the prime factors of 84194 and 84208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84194 and 84208.

How to find the GCF of 84194 and 84208?

We will first find the prime factorization of 84194 and 84208. After we will calculate the factors of 84194 and 84208 and find the biggest common factor number .

Step-1: Prime Factorization of 84194

Prime factors of 84194 are 2, 11, 43, 89. Prime factorization of 84194 in exponential form is:

84194 = 2¹ × 11¹ × 43¹ × 89¹

Step-2: Prime Factorization of 84208

Prime factors of 84208 are 2, 19, 277. Prime factorization of 84208 in exponential form is:

84208 = 2⁴ × 19¹ × 277¹

Step-3: Factors of 84194

List of positive integer factors of 84194 that divides 84194 without a remainder.

1, 2, 11, 22, 43, 86, 89, 178, 473, 946, 979, 1958, 3827, 7654, 42097

Step-4: Factors of 84208

List of positive integer factors of 84208 that divides 84194 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 277, 304, 554, 1108, 2216, 4432, 5263, 10526, 21052, 42104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84194 and 84208. The biggest common factor number is the GCF number.
So the greatest common factor 84194 and 84208 is 2.

Also check out the Least Common Multiple of 84194 and 84208