Greatest Common Factor of 690 and 694

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 690, 694 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 690 and 694 is 2.

GCF(690,694) = 2

GCF of 690 and 694

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

GCF of:
and

Greatest Common Factor of 690 and 694

GCF of 690 and 694 is 2

Prime Factorization of 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2,3,5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

∴ So by taking common prime factors GCF of 690 and 694 is 2

Greatest Common Factor of 690 and 694 by matching factors method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors and prime factorization of 690 and 694. The biggest common factor number is the GCF number.
So the greatest common factor 690 and 694 is 2.

Also check out the Least Common Multiple of 690 and 694

Properties of GCF 690 and 694

(i) The GCF of 690 and 694 is associative

GCF of 690 and 694 = GCF of 694 and 690

Related Greatest Common Factor of 690

Related Greatest Common Factor of 694

Frequently Asked Questions on GCF of 690 and 694

1. What is the GCF of 690 and 694?

Answer: GCF of 690 and 694 is 2.

2. What are the Factors of 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

3. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

4. How to Find the GCF of 690 and 694?

Answer:

Greatest Common Factor of 690 and 694 = 2

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 694

694 = 2 x 347

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 690 and 694 is 2