Greatest Common Factor of 1712 and 1720

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 1712, 1720 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1712 and 1720 is 8.

GCF(1712,1720) = 8

GCF of 1712 and 1720

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

GCF of:
and

Greatest Common Factor of 1712 and 1720

GCF of 1712 and 1720 is 8

Prime Factorization of 1712


2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:

1712 = 24×1071

Prime Factorization of 1720


2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 1720 are 2,5,43. Prime factorization of 1720 in exponential form is:

1720 = 23×51×431

∴ So by taking common prime factors GCF of 1712 and 1720 is 8

Greatest Common Factor of 1712 and 1720 by matching factors method

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720

Greatest Common Factor

We found the factors and prime factorization of 1712 and 1720. The biggest common factor number is the GCF number.
So the greatest common factor 1712 and 1720 is 8.

Also check out the Least Common Multiple of 1712 and 1720

Properties of GCF 1712 and 1720

(i) The GCF of 1712 and 1720 is associative

GCF of 1712 and 1720 = GCF of 1720 and 1712

Related Greatest Common Factor of 1712

Related Greatest Common Factor of 1720

Frequently Asked Questions on GCF of 1712 and 1720

1. What is the GCF of 1712 and 1720?

Answer: GCF of 1712 and 1720 is 8.

2. What are the Factors of 1712?

Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.

3. What are the Factors of 1720?

Answer: Factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720. There are 16 integers that are factors of 1720. The greatest factor of 1720 is 1720.

4. How to Find the GCF of 1712 and 1720?

Answer:

Greatest Common Factor of 1712 and 1720 = 8

Step 1: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 1720

1720 = 2 x 2 x 2 x 5 x 43

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1712 and 1720 is 8