What is the Greatest Common Factor of 84128 and 84136?

Greatest common factor (GCF) of 84128 and 84136 is 8.

GCF(84128,84136) = 8

We will now calculate the prime factors of 84128 and 84136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84128 and 84136.

How to find the GCF of 84128 and 84136?

We will first find the prime factorization of 84128 and 84136. After we will calculate the factors of 84128 and 84136 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 84136

Prime factors of 84136 are 2, 13, 809. Prime factorization of 84136 in exponential form is:

84136 = 2³ × 13¹ × 809¹

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 84136

List of positive integer factors of 84136 that divides 84128 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 809, 1618, 3236, 6472, 10517, 21034, 42068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84128 and 84136. The biggest common factor number is the GCF number.
So the greatest common factor 84128 and 84136 is 8.

Also check out the Least Common Multiple of 84128 and 84136