Greatest Common Factor of 688 and 692

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, 692 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 688 and 692 is 4.

GCF(688,692) = 4

GCF of 688 and 692

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

GCF of:
and

Greatest Common Factor of 688 and 692

GCF of 688 and 692 is 4

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 692


2 692
2 346
173 173
1

Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:

692 = 22×1731

∴ So by taking common prime factors GCF of 688 and 692 is 4

Greatest Common Factor of 688 and 692 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 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors and prime factorization of 688 and 692. The biggest common factor number is the GCF number.
So the greatest common factor 688 and 692 is 4.

Also check out the Least Common Multiple of 688 and 692

Properties of GCF 688 and 692

(i) The GCF of 688 and 692 is associative

GCF of 688 and 692 = GCF of 692 and 688

Related Greatest Common Factor of 688

Related Greatest Common Factor of 692

Frequently Asked Questions on GCF of 688 and 692

1. What is the GCF of 688 and 692?

Answer: GCF of 688 and 692 is 4.

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 692?

Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.

4. How to Find the GCF of 688 and 692?

Answer:

Greatest Common Factor of 688 and 692 = 4

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 692

692 = 2 x 2 x 173

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 688 and 692 is 4