What is the Greatest Common Factor of 88064 and 88076?

Greatest common factor (GCF) of 88064 and 88076 is 4.

GCF(88064,88076) = 4

We will now calculate the prime factors of 88064 and 88076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88064 and 88076.

How to find the GCF of 88064 and 88076?

We will first find the prime factorization of 88064 and 88076. After we will calculate the factors of 88064 and 88076 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 88076

Prime factors of 88076 are 2, 97, 227. Prime factorization of 88076 in exponential form is:

88076 = 2² × 97¹ × 227¹

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 88076

List of positive integer factors of 88076 that divides 88064 without a remainder.

1, 2, 4, 97, 194, 227, 388, 454, 908, 22019, 44038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88064 and 88076. The biggest common factor number is the GCF number.
So the greatest common factor 88064 and 88076 is 4.

Also check out the Least Common Multiple of 88064 and 88076