What is the Greatest Common Factor of 3045 and 3061?

Greatest common factor (GCF) of 3045 and 3061 is 1.

GCF(3045,3061) = 1

We will now calculate the prime factors of 3045 and 3061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3045 and 3061.

How to find the GCF of 3045 and 3061?

We will first find the prime factorization of 3045 and 3061. After we will calculate the factors of 3045 and 3061 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 3061

Prime factors of 3061 are 3061. Prime factorization of 3061 in exponential form is:

3061 = 3061¹

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 3061

List of positive integer factors of 3061 that divides 3045 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3045 and 3061. The biggest common factor number is the GCF number.
So the greatest common factor 3045 and 3061 is 1.

Also check out the Least Common Multiple of 3045 and 3061