Greatest Common Factor of 1692 and 1700

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 1692, 1700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1692 and 1700 is 4.

GCF(1692,1700) = 4

GCF of 1692 and 1700

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

GCF of:
and

Greatest Common Factor of 1692 and 1700

GCF of 1692 and 1700 is 4

Prime Factorization of 1692


2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 1692 are 2,3,47. Prime factorization of 1692 in exponential form is:

1692 = 22×32×471

Prime Factorization of 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2,5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

∴ So by taking common prime factors GCF of 1692 and 1700 is 4

Greatest Common Factor of 1692 and 1700 by matching factors method

Factors of 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Greatest Common Factor

We found the factors and prime factorization of 1692 and 1700. The biggest common factor number is the GCF number.
So the greatest common factor 1692 and 1700 is 4.

Also check out the Least Common Multiple of 1692 and 1700

Properties of GCF 1692 and 1700

(i) The GCF of 1692 and 1700 is associative

GCF of 1692 and 1700 = GCF of 1700 and 1692

Related Greatest Common Factor of 1692

Related Greatest Common Factor of 1700

Frequently Asked Questions on GCF of 1692 and 1700

1. What is the GCF of 1692 and 1700?

Answer: GCF of 1692 and 1700 is 4.

2. What are the Factors of 1692?

Answer: Factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692. There are 18 integers that are factors of 1692. The greatest factor of 1692 is 1692.

3. What are the Factors of 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

4. How to Find the GCF of 1692 and 1700?

Answer:

Greatest Common Factor of 1692 and 1700 = 4

Step 1: Find the prime factorization of 1692

1692 = 2 x 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

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 1692 and 1700 is 4