Greatest Common Factor of 1748 and 1756

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 1748, 1756 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1748 and 1756 is 4.

GCF(1748,1756) = 4

GCF of 1748 and 1756

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

GCF of:
and

Greatest Common Factor of 1748 and 1756

GCF of 1748 and 1756 is 4

Prime Factorization of 1748


2 1748
2 874
19 437
23 23
1

Prime factors of 1748 are 2,19,23. Prime factorization of 1748 in exponential form is:

1748 = 22×191×231

Prime Factorization of 1756


2 1756
2 878
439 439
1

Prime factors of 1756 are 2,439. Prime factorization of 1756 in exponential form is:

1756 = 22×4391

∴ So by taking common prime factors GCF of 1748 and 1756 is 4

Greatest Common Factor of 1748 and 1756 by matching factors method

Factors of 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1,2,4,19,23,38,46,76,92,437,874,1748

Factors of 1756

List of positive integer factors of 1756 that divides 1756 without a remainder.

1,2,4,439,878,1756

Greatest Common Factor

We found the factors and prime factorization of 1748 and 1756. The biggest common factor number is the GCF number.
So the greatest common factor 1748 and 1756 is 4.

Also check out the Least Common Multiple of 1748 and 1756

Properties of GCF 1748 and 1756

(i) The GCF of 1748 and 1756 is associative

GCF of 1748 and 1756 = GCF of 1756 and 1748

Related Greatest Common Factor of 1748

Related Greatest Common Factor of 1756

Frequently Asked Questions on GCF of 1748 and 1756

1. What is the GCF of 1748 and 1756?

Answer: GCF of 1748 and 1756 is 4.

2. What are the Factors of 1748?

Answer: Factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748. There are 12 integers that are factors of 1748. The greatest factor of 1748 is 1748.

3. What are the Factors of 1756?

Answer: Factors of 1756 are 1, 2, 4, 439, 878, 1756. There are 6 integers that are factors of 1756. The greatest factor of 1756 is 1756.

4. How to Find the GCF of 1748 and 1756?

Answer:

Greatest Common Factor of 1748 and 1756 = 4

Step 1: Find the prime factorization of 1748

1748 = 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 1756

1756 = 2 x 2 x 439

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 1748 and 1756 is 4