Greatest Common Factor of 3045 and 3052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3045, 3052 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3045 and 3052 is 7.

GCF(3045,3052) = 7

GCF of 3045 and 3052

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3045 and 3052

GCF of 3045 and 3052 is 7

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

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

3045 = 31×51×71×291

Prime Factorization of 3052


2 3052
2 1526
7 763
109 109
1

Prime factors of 3052 are 2,7,109. Prime factorization of 3052 in exponential form is:

3052 = 22×71×1091

∴ So by taking common prime factors GCF of 3045 and 3052 is 7

Greatest Common Factor of 3045 and 3052 by matching factors method

Factors of 3045

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

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Factors of 3052

List of positive integer factors of 3052 that divides 3052 without a remainder.

1,2,4,7,14,28,109,218,436,763,1526,3052

Greatest Common Factor

We found the factors and prime factorization of 3045 and 3052. The biggest common factor number is the GCF number.
So the greatest common factor 3045 and 3052 is 7.

Also check out the Least Common Multiple of 3045 and 3052

Properties of GCF 3045 and 3052

(i) The GCF of 3045 and 3052 is associative

GCF of 3045 and 3052 = GCF of 3052 and 3045

Related Greatest Common Factor of 3045

Related Greatest Common Factor of 3052

Frequently Asked Questions on GCF of 3045 and 3052

1. What is the GCF of 3045 and 3052?

Answer: GCF of 3045 and 3052 is 7.

2. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

3. What are the Factors of 3052?

Answer: Factors of 3052 are 1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526, 3052. There are 12 integers that are factors of 3052. The greatest factor of 3052 is 3052.

4. How to Find the GCF of 3045 and 3052?

Answer:

Greatest Common Factor of 3045 and 3052 = 7

Step 1: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 3052

3052 = 2 x 2 x 7 x 109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3045 and 3052 is 7