What is the Greatest Common Factor of 88064 and 88072?

Greatest common factor (GCF) of 88064 and 88072 is 8.

GCF(88064,88072) = 8

We will now calculate the prime factors of 88064 and 88072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88064 and 88072.

How to find the GCF of 88064 and 88072?

We will first find the prime factorization of 88064 and 88072. After we will calculate the factors of 88064 and 88072 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 88072

Prime factors of 88072 are 2, 101, 109. Prime factorization of 88072 in exponential form is:

88072 = 2³ × 101¹ × 109¹

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 88072

List of positive integer factors of 88072 that divides 88064 without a remainder.

1, 2, 4, 8, 101, 109, 202, 218, 404, 436, 808, 872, 11009, 22018, 44036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88064 and 88072. The biggest common factor number is the GCF number.
So the greatest common factor 88064 and 88072 is 8.

Also check out the Least Common Multiple of 88064 and 88072