What is the Greatest Common Factor of 3054 and 3064?

Greatest common factor (GCF) of 3054 and 3064 is 2.

GCF(3054,3064) = 2

We will now calculate the prime factors of 3054 and 3064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3054 and 3064.

How to find the GCF of 3054 and 3064?

We will first find the prime factorization of 3054 and 3064. After we will calculate the factors of 3054 and 3064 and find the biggest common factor number .

Step-1: Prime Factorization of 3054

Prime factors of 3054 are 2, 3, 509. Prime factorization of 3054 in exponential form is:

3054 = 2¹ × 3¹ × 509¹

Step-2: Prime Factorization of 3064

Prime factors of 3064 are 2, 383. Prime factorization of 3064 in exponential form is:

3064 = 2³ × 383¹

Step-3: Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1, 2, 3, 6, 509, 1018, 1527

Step-4: Factors of 3064

List of positive integer factors of 3064 that divides 3054 without a remainder.

1, 2, 4, 8, 383, 766, 1532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3054 and 3064. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3064 is 2.

Also check out the Least Common Multiple of 3054 and 3064