What is the Greatest Common Factor of 3030 and 3045?

Greatest common factor (GCF) of 3030 and 3045 is 15.

GCF(3030,3045) = 15

We will now calculate the prime factors of 3030 and 3045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3030 and 3045.

How to find the GCF of 3030 and 3045?

We will first find the prime factorization of 3030 and 3045. After we will calculate the factors of 3030 and 3045 and find the biggest common factor number .

Step-1: Prime Factorization of 3030

Prime factors of 3030 are 2, 3, 5, 101. Prime factorization of 3030 in exponential form is:

3030 = 2¹ × 3¹ × 5¹ × 101¹

Step-2: 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-3: Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515

Step-4: Factors of 3045

List of positive integer factors of 3045 that divides 3030 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3030 and 3045. The biggest common factor number is the GCF number.
So the greatest common factor 3030 and 3045 is 15.

Also check out the Least Common Multiple of 3030 and 3045