Greatest Common Factor of 1732 and 1738

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 1732, 1738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1732 and 1738 is 2.

GCF(1732,1738) = 2

GCF of 1732 and 1738

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

GCF of:
and

Greatest Common Factor of 1732 and 1738

GCF of 1732 and 1738 is 2

Prime Factorization of 1732


2 1732
2 866
433 433
1

Prime factors of 1732 are 2,433. Prime factorization of 1732 in exponential form is:

1732 = 22×4331

Prime Factorization of 1738


2 1738
11 869
79 79
1

Prime factors of 1738 are 2,11,79. Prime factorization of 1738 in exponential form is:

1738 = 21×111×791

∴ So by taking common prime factors GCF of 1732 and 1738 is 2

Greatest Common Factor of 1732 and 1738 by matching factors method

Factors of 1732

List of positive integer factors of 1732 that divides 1732 without a remainder.

1,2,4,433,866,1732

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors and prime factorization of 1732 and 1738. The biggest common factor number is the GCF number.
So the greatest common factor 1732 and 1738 is 2.

Also check out the Least Common Multiple of 1732 and 1738

Properties of GCF 1732 and 1738

(i) The GCF of 1732 and 1738 is associative

GCF of 1732 and 1738 = GCF of 1738 and 1732

Related Greatest Common Factor of 1732

Related Greatest Common Factor of 1738

Frequently Asked Questions on GCF of 1732 and 1738

1. What is the GCF of 1732 and 1738?

Answer: GCF of 1732 and 1738 is 2.

2. What are the Factors of 1732?

Answer: Factors of 1732 are 1, 2, 4, 433, 866, 1732. There are 6 integers that are factors of 1732. The greatest factor of 1732 is 1732.

3. What are the Factors of 1738?

Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.

4. How to Find the GCF of 1732 and 1738?

Answer:

Greatest Common Factor of 1732 and 1738 = 2

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

Step 2: Find the prime factorization of 1738

1738 = 2 x 11 x 79

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 1732 and 1738 is 2