What is the Greatest Common Factor of 88064 and 88082?

Greatest common factor (GCF) of 88064 and 88082 is 2.

GCF(88064,88082) = 2

We will now calculate the prime factors of 88064 and 88082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88064 and 88082.

How to find the GCF of 88064 and 88082?

We will first find the prime factorization of 88064 and 88082. After we will calculate the factors of 88064 and 88082 and find the biggest common factor number .

Step-1: Prime Factorization of 88064

Prime factors of 88064 are 2, 43. Prime factorization of 88064 in exponential form is:

88064 = 2¹¹ × 43¹

Step-2: Prime Factorization of 88082

Prime factors of 88082 are 2, 44041. Prime factorization of 88082 in exponential form is:

88082 = 2¹ × 44041¹

Step-3: Factors of 88064

List of positive integer factors of 88064 that divides 88064 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1024, 1376, 2048, 2752, 5504, 11008, 22016, 44032

Step-4: Factors of 88082

List of positive integer factors of 88082 that divides 88064 without a remainder.

1, 2, 44041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88064 and 88082. The biggest common factor number is the GCF number.
So the greatest common factor 88064 and 88082 is 2.

Also check out the Least Common Multiple of 88064 and 88082