Greatest Common Factor of 7026 and 7034

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 7026, 7034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7026 and 7034 is 2.

GCF(7026,7034) = 2

GCF of 7026 and 7034

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

GCF of:
and

Greatest Common Factor of 7026 and 7034

GCF of 7026 and 7034 is 2

Prime Factorization of 7026


2 7026
3 3513
1171 1171
1

Prime factors of 7026 are 2,3,1171. Prime factorization of 7026 in exponential form is:

7026 = 21×31×11711

Prime Factorization of 7034


2 7034
3517 3517
1

Prime factors of 7034 are 2,3517. Prime factorization of 7034 in exponential form is:

7034 = 21×35171

∴ So by taking common prime factors GCF of 7026 and 7034 is 2

Greatest Common Factor of 7026 and 7034 by matching factors method

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1,2,3,6,1171,2342,3513,7026

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1,2,3517,7034

Greatest Common Factor

We found the factors and prime factorization of 7026 and 7034. The biggest common factor number is the GCF number.
So the greatest common factor 7026 and 7034 is 2.

Also check out the Least Common Multiple of 7026 and 7034

Properties of GCF 7026 and 7034

(i) The GCF of 7026 and 7034 is associative

GCF of 7026 and 7034 = GCF of 7034 and 7026

Related Greatest Common Factor of 7026

Related Greatest Common Factor of 7034

Frequently Asked Questions on GCF of 7026 and 7034

1. What is the GCF of 7026 and 7034?

Answer: GCF of 7026 and 7034 is 2.

2. What are the Factors of 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

3. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

4. How to Find the GCF of 7026 and 7034?

Answer:

Greatest Common Factor of 7026 and 7034 = 2

Step 1: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7026 and 7034 is 2