Greatest Common Factor of 702 and 706

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 702, 706 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 702 and 706 is 2.

GCF(702,706) = 2

GCF of 702 and 706

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

GCF of:
and

Greatest Common Factor of 702 and 706

GCF of 702 and 706 is 2

Prime Factorization of 702


2 702
3 351
3 117
3 39
13 13
1

Prime factors of 702 are 2,3,13. Prime factorization of 702 in exponential form is:

702 = 21×33×131

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

∴ So by taking common prime factors GCF of 702 and 706 is 2

Greatest Common Factor of 702 and 706 by matching factors method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors and prime factorization of 702 and 706. The biggest common factor number is the GCF number.
So the greatest common factor 702 and 706 is 2.

Also check out the Least Common Multiple of 702 and 706

Properties of GCF 702 and 706

(i) The GCF of 702 and 706 is associative

GCF of 702 and 706 = GCF of 706 and 702

Related Greatest Common Factor of 702

Related Greatest Common Factor of 706

Frequently Asked Questions on GCF of 702 and 706

1. What is the GCF of 702 and 706?

Answer: GCF of 702 and 706 is 2.

2. What are the Factors of 702?

Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.

3. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

4. How to Find the GCF of 702 and 706?

Answer:

Greatest Common Factor of 702 and 706 = 2

Step 1: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 706

706 = 2 x 353

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 702 and 706 is 2