Greatest Common Factor of 7065 and 7068

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 7065, 7068 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7065 and 7068 is 3.

GCF(7065,7068) = 3

GCF of 7065 and 7068

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

GCF of:
and

Greatest Common Factor of 7065 and 7068

GCF of 7065 and 7068 is 3

Prime Factorization of 7065


3 7065
3 2355
5 785
157 157
1

Prime factors of 7065 are 3,5,157. Prime factorization of 7065 in exponential form is:

7065 = 32×51×1571

Prime Factorization of 7068


2 7068
2 3534
3 1767
19 589
31 31
1

Prime factors of 7068 are 2,3,19,31. Prime factorization of 7068 in exponential form is:

7068 = 22×31×191×311

∴ So by taking common prime factors GCF of 7065 and 7068 is 3

Greatest Common Factor of 7065 and 7068 by matching factors method

Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1,3,5,9,15,45,157,471,785,1413,2355,7065

Factors of 7068

List of positive integer factors of 7068 that divides 7068 without a remainder.

1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068

Greatest Common Factor

We found the factors and prime factorization of 7065 and 7068. The biggest common factor number is the GCF number.
So the greatest common factor 7065 and 7068 is 3.

Also check out the Least Common Multiple of 7065 and 7068

Properties of GCF 7065 and 7068

(i) The GCF of 7065 and 7068 is associative

GCF of 7065 and 7068 = GCF of 7068 and 7065

Related Greatest Common Factor of 7065

Related Greatest Common Factor of 7068

Frequently Asked Questions on GCF of 7065 and 7068

1. What is the GCF of 7065 and 7068?

Answer: GCF of 7065 and 7068 is 3.

2. What are the Factors of 7065?

Answer: Factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065. There are 12 integers that are factors of 7065. The greatest factor of 7065 is 7065.

3. What are the Factors of 7068?

Answer: Factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068. There are 24 integers that are factors of 7068. The greatest factor of 7068 is 7068.

4. How to Find the GCF of 7065 and 7068?

Answer:

Greatest Common Factor of 7065 and 7068 = 3

Step 1: Find the prime factorization of 7065

7065 = 3 x 3 x 5 x 157

Step 2: Find the prime factorization of 7068

7068 = 2 x 2 x 3 x 19 x 31

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7065 and 7068 is 3