Greatest Common Factor of 688 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 688, 694 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 688 and 694 is 2.

GCF(688,694) = 2

GCF of 688 and 694

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

GCF of:
and

Greatest Common Factor of 688 and 694

GCF of 688 and 694 is 2

Prime Factorization of 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

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 688 and 694 is 2

Greatest Common Factor of 688 and 694 by matching factors method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

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 688 and 694. The biggest common factor number is the GCF number.
So the greatest common factor 688 and 694 is 2.

Also check out the Least Common Multiple of 688 and 694

Properties of GCF 688 and 694

(i) The GCF of 688 and 694 is associative

GCF of 688 and 694 = GCF of 694 and 688

Related Greatest Common Factor of 688

Related Greatest Common Factor of 694

Frequently Asked Questions on GCF of 688 and 694

1. What is the GCF of 688 and 694?

Answer: GCF of 688 and 694 is 2.

2. What are the Factors of 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

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 688 and 694?

Answer:

Greatest Common Factor of 688 and 694 = 2

Step 1: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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 688 and 694 is 2