What is the Greatest Common Factor of 2128 and 2136?

Greatest common factor (GCF) of 2128 and 2136 is 8.

GCF(2128,2136) = 8

We will now calculate the prime factors of 2128 and 2136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2128 and 2136.

How to find the GCF of 2128 and 2136?

We will first find the prime factorization of 2128 and 2136. After we will calculate the factors of 2128 and 2136 and find the biggest common factor number .

Step-1: Prime Factorization of 2128

Prime factors of 2128 are 2, 7, 19. Prime factorization of 2128 in exponential form is:

2128 = 2⁴ × 7¹ × 19¹

Step-2: Prime Factorization of 2136

Prime factors of 2136 are 2, 3, 89. Prime factorization of 2136 in exponential form is:

2136 = 2³ × 3¹ × 89¹

Step-3: Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064

Step-4: Factors of 2136

List of positive integer factors of 2136 that divides 2128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2128 and 2136. The biggest common factor number is the GCF number.
So the greatest common factor 2128 and 2136 is 8.

Also check out the Least Common Multiple of 2128 and 2136