Greatest Common Factor of 1745 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 1745, 1752 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1745 and 1752 is 1.

GCF(1745,1752) = 1

GCF of 1745 and 1752

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

GCF of:
and

Greatest Common Factor of 1745 and 1752

GCF of 1745 and 1752 is 1

Prime Factorization of 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

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 1745 and 1752 is 1

Greatest Common Factor of 1745 and 1752 by matching factors method

Factors of 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1,5,349,1745

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 1745 and 1752. The biggest common factor number is the GCF number.
So the greatest common factor 1745 and 1752 is 1.

Also check out the Least Common Multiple of 1745 and 1752

Properties of GCF 1745 and 1752

(i) The GCF of 1745 and 1752 is associative

GCF of 1745 and 1752 = GCF of 1752 and 1745

Related Greatest Common Factor of 1745

Related Greatest Common Factor of 1752

Frequently Asked Questions on GCF of 1745 and 1752

1. What is the GCF of 1745 and 1752?

Answer: GCF of 1745 and 1752 is 1.

2. What are the Factors of 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

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 1745 and 1752?

Answer:

Greatest Common Factor of 1745 and 1752 = 1

Step 1: Find the prime factorization of 1745

1745 = 5 x 349

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 = = 1

Step 4: Therefore, the greatest common factor of 1745 and 1752 is 1