What is the Greatest Common Factor of 54064 and 54072?

Greatest common factor (GCF) of 54064 and 54072 is 8.

GCF(54064,54072) = 8

We will now calculate the prime factors of 54064 and 54072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54064 and 54072.

How to find the GCF of 54064 and 54072?

We will first find the prime factorization of 54064 and 54072. After we will calculate the factors of 54064 and 54072 and find the biggest common factor number .

Step-1: Prime Factorization of 54064

Prime factors of 54064 are 2, 31, 109. Prime factorization of 54064 in exponential form is:

54064 = 2⁴ × 31¹ × 109¹

Step-2: Prime Factorization of 54072

Prime factors of 54072 are 2, 3, 751. Prime factorization of 54072 in exponential form is:

54072 = 2³ × 3² × 751¹

Step-3: Factors of 54064

List of positive integer factors of 54064 that divides 54064 without a remainder.

1, 2, 4, 8, 16, 31, 62, 109, 124, 218, 248, 436, 496, 872, 1744, 3379, 6758, 13516, 27032

Step-4: Factors of 54072

List of positive integer factors of 54072 that divides 54064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 751, 1502, 2253, 3004, 4506, 6008, 6759, 9012, 13518, 18024, 27036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54064 and 54072. The biggest common factor number is the GCF number.
So the greatest common factor 54064 and 54072 is 8.

Also check out the Least Common Multiple of 54064 and 54072