Greatest Common Factor of 3042 and 3048

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 3042, 3048 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3042 and 3048 is 6.

GCF(3042,3048) = 6

GCF of 3042 and 3048

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

GCF of:
and

Greatest Common Factor of 3042 and 3048

GCF of 3042 and 3048 is 6

Prime Factorization of 3042


2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 3042 are 2,3,13. Prime factorization of 3042 in exponential form is:

3042 = 21×32×132

Prime Factorization of 3048


2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 3048 are 2,3,127. Prime factorization of 3048 in exponential form is:

3048 = 23×31×1271

∴ So by taking common prime factors GCF of 3042 and 3048 is 6

Greatest Common Factor of 3042 and 3048 by matching factors method

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048

Greatest Common Factor

We found the factors and prime factorization of 3042 and 3048. The biggest common factor number is the GCF number.
So the greatest common factor 3042 and 3048 is 6.

Also check out the Least Common Multiple of 3042 and 3048

Properties of GCF 3042 and 3048

(i) The GCF of 3042 and 3048 is associative

GCF of 3042 and 3048 = GCF of 3048 and 3042

Related Greatest Common Factor of 3042

Related Greatest Common Factor of 3048

Frequently Asked Questions on GCF of 3042 and 3048

1. What is the GCF of 3042 and 3048?

Answer: GCF of 3042 and 3048 is 6.

2. What are the Factors of 3042?

Answer: Factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. There are 18 integers that are factors of 3042. The greatest factor of 3042 is 3042.

3. What are the Factors of 3048?

Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.

4. How to Find the GCF of 3042 and 3048?

Answer:

Greatest Common Factor of 3042 and 3048 = 6

Step 1: Find the prime factorization of 3042

3042 = 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3042 and 3048 is 6