What is the Greatest Common Factor of 96064 and 96069?

Greatest common factor (GCF) of 96064 and 96069 is 1.

GCF(96064,96069) = 1

We will now calculate the prime factors of 96064 and 96069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96064 and 96069.

How to find the GCF of 96064 and 96069?

We will first find the prime factorization of 96064 and 96069. After we will calculate the factors of 96064 and 96069 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 96069

Prime factors of 96069 are 3, 31, 1033. Prime factorization of 96069 in exponential form is:

96069 = 3¹ × 31¹ × 1033¹

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 96069

List of positive integer factors of 96069 that divides 96064 without a remainder.

1, 3, 31, 93, 1033, 3099, 32023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96064 and 96069. The biggest common factor number is the GCF number.
So the greatest common factor 96064 and 96069 is 1.

Also check out the Least Common Multiple of 96064 and 96069