What is the Greatest Common Factor of 3045 and 3054?

Greatest common factor (GCF) of 3045 and 3054 is 3.

GCF(3045,3054) = 3

We will now calculate the prime factors of 3045 and 3054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3045 and 3054.

How to find the GCF of 3045 and 3054?

We will first find the prime factorization of 3045 and 3054. After we will calculate the factors of 3045 and 3054 and find the biggest common factor number .

Step-1: Prime Factorization of 3045

Prime factors of 3045 are 3, 5, 7, 29. Prime factorization of 3045 in exponential form is:

3045 = 3¹ × 5¹ × 7¹ × 29¹

Step-2: 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-3: Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015

Step-4: Factors of 3054

List of positive integer factors of 3054 that divides 3045 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3045 and 3054. The biggest common factor number is the GCF number.
So the greatest common factor 3045 and 3054 is 3.

Also check out the Least Common Multiple of 3045 and 3054