Greatest Common Factor of 1746 and 1752

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 1746, 1752 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1746 and 1752 is 6.

GCF(1746,1752) = 6

GCF of 1746 and 1752

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

GCF of:
and

Greatest Common Factor of 1746 and 1752

GCF of 1746 and 1752 is 6

Prime Factorization of 1746


2 1746
3 873
3 291
97 97
1

Prime factors of 1746 are 2,3,97. Prime factorization of 1746 in exponential form is:

1746 = 21×32×971

Prime Factorization of 1752


2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 1752 are 2,3,73. Prime factorization of 1752 in exponential form is:

1752 = 23×31×731

∴ So by taking common prime factors GCF of 1746 and 1752 is 6

Greatest Common Factor of 1746 and 1752 by matching factors method

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1,2,3,6,9,18,97,194,291,582,873,1746

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Greatest Common Factor

We found the factors and prime factorization of 1746 and 1752. The biggest common factor number is the GCF number.
So the greatest common factor 1746 and 1752 is 6.

Also check out the Least Common Multiple of 1746 and 1752

Properties of GCF 1746 and 1752

(i) The GCF of 1746 and 1752 is associative

GCF of 1746 and 1752 = GCF of 1752 and 1746

Related Greatest Common Factor of 1746

Related Greatest Common Factor of 1752

Frequently Asked Questions on GCF of 1746 and 1752

1. What is the GCF of 1746 and 1752?

Answer: GCF of 1746 and 1752 is 6.

2. What are the Factors of 1746?

Answer: Factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746. There are 12 integers that are factors of 1746. The greatest factor of 1746 is 1746.

3. What are the Factors of 1752?

Answer: Factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752. There are 16 integers that are factors of 1752. The greatest factor of 1752 is 1752.

4. How to Find the GCF of 1746 and 1752?

Answer:

Greatest Common Factor of 1746 and 1752 = 6

Step 1: Find the prime factorization of 1746

1746 = 2 x 3 x 3 x 97

Step 2: Find the prime factorization of 1752

1752 = 2 x 2 x 2 x 3 x 73

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1746 and 1752 is 6