What is the Greatest Common Factor of 96064 and 96082?

Greatest common factor (GCF) of 96064 and 96082 is 2.

GCF(96064,96082) = 2

We will now calculate the prime factors of 96064 and 96082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96064 and 96082.

How to find the GCF of 96064 and 96082?

We will first find the prime factorization of 96064 and 96082. After we will calculate the factors of 96064 and 96082 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 96082

Prime factors of 96082 are 2, 7, 6863. Prime factorization of 96082 in exponential form is:

96082 = 2¹ × 7¹ × 6863¹

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 96082

List of positive integer factors of 96082 that divides 96064 without a remainder.

1, 2, 7, 14, 6863, 13726, 48041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96064 and 96082. The biggest common factor number is the GCF number.
So the greatest common factor 96064 and 96082 is 2.

Also check out the Least Common Multiple of 96064 and 96082