Greatest Common Factor of 1174 and 1178

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 1174, 1178 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1174 and 1178 is 2.

GCF(1174,1178) = 2

GCF of 1174 and 1178

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

GCF of:
and

Greatest Common Factor of 1174 and 1178

GCF of 1174 and 1178 is 2

Prime Factorization of 1174


2 1174
587 587
1

Prime factors of 1174 are 2,587. Prime factorization of 1174 in exponential form is:

1174 = 21×5871

Prime Factorization of 1178


2 1178
19 589
31 31
1

Prime factors of 1178 are 2,19,31. Prime factorization of 1178 in exponential form is:

1178 = 21×191×311

∴ So by taking common prime factors GCF of 1174 and 1178 is 2

Greatest Common Factor of 1174 and 1178 by matching factors method

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1,2,587,1174

Factors of 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1,2,19,31,38,62,589,1178

Greatest Common Factor

We found the factors and prime factorization of 1174 and 1178. The biggest common factor number is the GCF number.
So the greatest common factor 1174 and 1178 is 2.

Also check out the Least Common Multiple of 1174 and 1178

Properties of GCF 1174 and 1178

(i) The GCF of 1174 and 1178 is associative

GCF of 1174 and 1178 = GCF of 1178 and 1174

Related Greatest Common Factor of 1174

Related Greatest Common Factor of 1178

Frequently Asked Questions on GCF of 1174 and 1178

1. What is the GCF of 1174 and 1178?

Answer: GCF of 1174 and 1178 is 2.

2. What are the Factors of 1174?

Answer: Factors of 1174 are 1, 2, 587, 1174. There are 4 integers that are factors of 1174. The greatest factor of 1174 is 1174.

3. What are the Factors of 1178?

Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.

4. How to Find the GCF of 1174 and 1178?

Answer:

Greatest Common Factor of 1174 and 1178 = 2

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1178

1178 = 2 x 19 x 31

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 1174 and 1178 is 2