Greatest Common Factor of 690 and 698

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

Greatest common factor (GCF) of 690 and 698 is 2.

GCF(690,698) = 2

GCF of 690 and 698

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

GCF of:
and

Greatest Common Factor of 690 and 698

GCF of 690 and 698 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 698


2 698
349 349
1

Prime factors of 698 are 2,349. Prime factorization of 698 in exponential form is:

698 = 21×3491

∴ So by taking common prime factors GCF of 690 and 698 is 2

Greatest Common Factor of 690 and 698 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 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors and prime factorization of 690 and 698. The biggest common factor number is the GCF number.
So the greatest common factor 690 and 698 is 2.

Also check out the Least Common Multiple of 690 and 698

Properties of GCF 690 and 698

(i) The GCF of 690 and 698 is associative

GCF of 690 and 698 = GCF of 698 and 690

Related Greatest Common Factor of 690

Related Greatest Common Factor of 698

Frequently Asked Questions on GCF of 690 and 698

1. What is the GCF of 690 and 698?

Answer: GCF of 690 and 698 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 698?

Answer: Factors of 698 are 1, 2, 349, 698. There are 4 integers that are factors of 698. The greatest factor of 698 is 698.

4. How to Find the GCF of 690 and 698?

Answer:

Greatest Common Factor of 690 and 698 = 2

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 698

698 = 2 x 349

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 698 is 2