Greatest Common Factor of 1748 and 1754

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, 1754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1748 and 1754 is 2.

GCF(1748,1754) = 2

GCF of 1748 and 1754

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

GCF of:
and

Greatest Common Factor of 1748 and 1754

GCF of 1748 and 1754 is 2

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 1754


2 1754
877 877
1

Prime factors of 1754 are 2,877. Prime factorization of 1754 in exponential form is:

1754 = 21×8771

∴ So by taking common prime factors GCF of 1748 and 1754 is 2

Greatest Common Factor of 1748 and 1754 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 1754

List of positive integer factors of 1754 that divides 1754 without a remainder.

1,2,877,1754

Greatest Common Factor

We found the factors and prime factorization of 1748 and 1754. The biggest common factor number is the GCF number.
So the greatest common factor 1748 and 1754 is 2.

Also check out the Least Common Multiple of 1748 and 1754

Properties of GCF 1748 and 1754

(i) The GCF of 1748 and 1754 is associative

GCF of 1748 and 1754 = GCF of 1754 and 1748

Related Greatest Common Factor of 1748

Related Greatest Common Factor of 1754

Frequently Asked Questions on GCF of 1748 and 1754

1. What is the GCF of 1748 and 1754?

Answer: GCF of 1748 and 1754 is 2.

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 1754?

Answer: Factors of 1754 are 1, 2, 877, 1754. There are 4 integers that are factors of 1754. The greatest factor of 1754 is 1754.

4. How to Find the GCF of 1748 and 1754?

Answer:

Greatest Common Factor of 1748 and 1754 = 2

Step 1: Find the prime factorization of 1748

1748 = 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 1754

1754 = 2 x 877

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 1748 and 1754 is 2