Greatest Common Factor of 692 and 700

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 692, 700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 692 and 700 is 4.

GCF(692,700) = 4

GCF of 692 and 700

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

GCF of:
and

Greatest Common Factor of 692 and 700

GCF of 692 and 700 is 4

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

Prime Factorization of 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2,5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

∴ So by taking common prime factors GCF of 692 and 700 is 4

Greatest Common Factor of 692 and 700 by matching factors method

Factors of 692

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

1,2,4,173,346,692

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors and prime factorization of 692 and 700. The biggest common factor number is the GCF number.
So the greatest common factor 692 and 700 is 4.

Also check out the Least Common Multiple of 692 and 700

Properties of GCF 692 and 700

(i) The GCF of 692 and 700 is associative

GCF of 692 and 700 = GCF of 700 and 692

Related Greatest Common Factor of 692

Related Greatest Common Factor of 700

Frequently Asked Questions on GCF of 692 and 700

1. What is the GCF of 692 and 700?

Answer: GCF of 692 and 700 is 4.

2. 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.

3. What are the Factors of 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

4. How to Find the GCF of 692 and 700?

Answer:

Greatest Common Factor of 692 and 700 = 4

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

Step 2: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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 692 and 700 is 4