Greatest Common Factor of 1774 and 1778

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 1774, 1778 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1774 and 1778 is 2.

GCF(1774,1778) = 2

GCF of 1774 and 1778

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

GCF of:
and

Greatest Common Factor of 1774 and 1778

GCF of 1774 and 1778 is 2

Prime Factorization of 1774


2 1774
887 887
1

Prime factors of 1774 are 2,887. Prime factorization of 1774 in exponential form is:

1774 = 21×8871

Prime Factorization of 1778


2 1778
7 889
127 127
1

Prime factors of 1778 are 2,7,127. Prime factorization of 1778 in exponential form is:

1778 = 21×71×1271

∴ So by taking common prime factors GCF of 1774 and 1778 is 2

Greatest Common Factor of 1774 and 1778 by matching factors method

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1,2,887,1774

Factors of 1778

List of positive integer factors of 1778 that divides 1778 without a remainder.

1,2,7,14,127,254,889,1778

Greatest Common Factor

We found the factors and prime factorization of 1774 and 1778. The biggest common factor number is the GCF number.
So the greatest common factor 1774 and 1778 is 2.

Also check out the Least Common Multiple of 1774 and 1778

Properties of GCF 1774 and 1778

(i) The GCF of 1774 and 1778 is associative

GCF of 1774 and 1778 = GCF of 1778 and 1774

Related Greatest Common Factor of 1774

Related Greatest Common Factor of 1778

Frequently Asked Questions on GCF of 1774 and 1778

1. What is the GCF of 1774 and 1778?

Answer: GCF of 1774 and 1778 is 2.

2. What are the Factors of 1774?

Answer: Factors of 1774 are 1, 2, 887, 1774. There are 4 integers that are factors of 1774. The greatest factor of 1774 is 1774.

3. What are the Factors of 1778?

Answer: Factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778. There are 8 integers that are factors of 1778. The greatest factor of 1778 is 1778.

4. How to Find the GCF of 1774 and 1778?

Answer:

Greatest Common Factor of 1774 and 1778 = 2

Step 1: Find the prime factorization of 1774

1774 = 2 x 887

Step 2: Find the prime factorization of 1778

1778 = 2 x 7 x 127

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 1774 and 1778 is 2