What is the Greatest Common Factor of 84128 and 84146?

Greatest common factor (GCF) of 84128 and 84146 is 2.

GCF(84128,84146) = 2

We will now calculate the prime factors of 84128 and 84146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84128 and 84146.

How to find the GCF of 84128 and 84146?

We will first find the prime factorization of 84128 and 84146. After we will calculate the factors of 84128 and 84146 and find the biggest common factor number .

Step-1: Prime Factorization of 84128

Prime factors of 84128 are 2, 11, 239. Prime factorization of 84128 in exponential form is:

84128 = 2⁵ × 11¹ × 239¹

Step-2: Prime Factorization of 84146

Prime factors of 84146 are 2, 42073. Prime factorization of 84146 in exponential form is:

84146 = 2¹ × 42073¹

Step-3: Factors of 84128

List of positive integer factors of 84128 that divides 84128 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 239, 352, 478, 956, 1912, 2629, 3824, 5258, 7648, 10516, 21032, 42064

Step-4: Factors of 84146

List of positive integer factors of 84146 that divides 84128 without a remainder.

1, 2, 42073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84128 and 84146. The biggest common factor number is the GCF number.
So the greatest common factor 84128 and 84146 is 2.

Also check out the Least Common Multiple of 84128 and 84146