Greatest Common Factor of 698 and 699

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 698, 699 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 698 and 699 is 1.

GCF(698,699) = 1

GCF of 698 and 699

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

GCF of:
and

Greatest Common Factor of 698 and 699

GCF of 698 and 699 is 1

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

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

∴ So by taking common prime factors GCF of 698 and 699 is 1

Greatest Common Factor of 698 and 699 by matching factors method

Factors of 698

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

1,2,349,698

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors and prime factorization of 698 and 699. The biggest common factor number is the GCF number.
So the greatest common factor 698 and 699 is 1.

Also check out the Least Common Multiple of 698 and 699

Properties of GCF 698 and 699

(i) The GCF of 698 and 699 is associative

GCF of 698 and 699 = GCF of 699 and 698

Related Greatest Common Factor of 698

Related Greatest Common Factor of 699

Frequently Asked Questions on GCF of 698 and 699

1. What is the GCF of 698 and 699?

Answer: GCF of 698 and 699 is 1.

2. 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.

3. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

4. How to Find the GCF of 698 and 699?

Answer:

Greatest Common Factor of 698 and 699 = 1

Step 1: Find the prime factorization of 698

698 = 2 x 349

Step 2: Find the prime factorization of 699

699 = 3 x 233

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 698 and 699 is 1