What is the Greatest Common Factor of 96064 and 96071?

Greatest common factor (GCF) of 96064 and 96071 is 1.

GCF(96064,96071) = 1

We will now calculate the prime factors of 96064 and 96071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96064 and 96071.

How to find the GCF of 96064 and 96071?

We will first find the prime factorization of 96064 and 96071. After we will calculate the factors of 96064 and 96071 and find the biggest common factor number .

Step-1: Prime Factorization of 96064

Prime factors of 96064 are 2, 19, 79. Prime factorization of 96064 in exponential form is:

96064 = 2⁶ × 19¹ × 79¹

Step-2: Prime Factorization of 96071

Prime factors of 96071 are 23, 4177. Prime factorization of 96071 in exponential form is:

96071 = 23¹ × 4177¹

Step-3: Factors of 96064

List of positive integer factors of 96064 that divides 96064 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 79, 152, 158, 304, 316, 608, 632, 1216, 1264, 1501, 2528, 3002, 5056, 6004, 12008, 24016, 48032

Step-4: Factors of 96071

List of positive integer factors of 96071 that divides 96064 without a remainder.

1, 23, 4177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96064 and 96071. The biggest common factor number is the GCF number.
So the greatest common factor 96064 and 96071 is 1.

Also check out the Least Common Multiple of 96064 and 96071