What is the Greatest Common Factor of 32128 and 32136?

Greatest common factor (GCF) of 32128 and 32136 is 8.

GCF(32128,32136) = 8

We will now calculate the prime factors of 32128 and 32136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32128 and 32136.

How to find the GCF of 32128 and 32136?

We will first find the prime factorization of 32128 and 32136. After we will calculate the factors of 32128 and 32136 and find the biggest common factor number .

Step-1: Prime Factorization of 32128

Prime factors of 32128 are 2, 251. Prime factorization of 32128 in exponential form is:

32128 = 2⁷ × 251¹

Step-2: Prime Factorization of 32136

Prime factors of 32136 are 2, 3, 13, 103. Prime factorization of 32136 in exponential form is:

32136 = 2³ × 3¹ × 13¹ × 103¹

Step-3: Factors of 32128

List of positive integer factors of 32128 that divides 32128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 251, 502, 1004, 2008, 4016, 8032, 16064

Step-4: Factors of 32136

List of positive integer factors of 32136 that divides 32128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 103, 104, 156, 206, 309, 312, 412, 618, 824, 1236, 1339, 2472, 2678, 4017, 5356, 8034, 10712, 16068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32128 and 32136. The biggest common factor number is the GCF number.
So the greatest common factor 32128 and 32136 is 8.

Also check out the Least Common Multiple of 32128 and 32136