What is the Greatest Common Factor of 48064 and 48069?

Greatest common factor (GCF) of 48064 and 48069 is 1.

GCF(48064,48069) = 1

We will now calculate the prime factors of 48064 and 48069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48064 and 48069.

How to find the GCF of 48064 and 48069?

We will first find the prime factorization of 48064 and 48069. After we will calculate the factors of 48064 and 48069 and find the biggest common factor number .

Step-1: Prime Factorization of 48064

Prime factors of 48064 are 2, 751. Prime factorization of 48064 in exponential form is:

48064 = 2⁶ × 751¹

Step-2: Prime Factorization of 48069

Prime factors of 48069 are 3, 7, 109. Prime factorization of 48069 in exponential form is:

48069 = 3² × 7² × 109¹

Step-3: Factors of 48064

List of positive integer factors of 48064 that divides 48064 without a remainder.

1, 2, 4, 8, 16, 32, 64, 751, 1502, 3004, 6008, 12016, 24032

Step-4: Factors of 48069

List of positive integer factors of 48069 that divides 48064 without a remainder.

1, 3, 7, 9, 21, 49, 63, 109, 147, 327, 441, 763, 981, 2289, 5341, 6867, 16023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48064 and 48069. The biggest common factor number is the GCF number.
So the greatest common factor 48064 and 48069 is 1.

Also check out the Least Common Multiple of 48064 and 48069