Greatest Common Factor of 1174 and 1177

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, 1177 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1174 and 1177 is 1.

GCF(1174,1177) = 1

GCF of 1174 and 1177

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

GCF of:
and

Greatest Common Factor of 1174 and 1177

GCF of 1174 and 1177 is 1

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 1177


11 1177
107 107
1

Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:

1177 = 111×1071

∴ So by taking common prime factors GCF of 1174 and 1177 is 1

Greatest Common Factor of 1174 and 1177 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 1177

List of positive integer factors of 1177 that divides 1177 without a remainder.

1,11,107,1177

Greatest Common Factor

We found the factors and prime factorization of 1174 and 1177. The biggest common factor number is the GCF number.
So the greatest common factor 1174 and 1177 is 1.

Also check out the Least Common Multiple of 1174 and 1177

Properties of GCF 1174 and 1177

(i) The GCF of 1174 and 1177 is associative

GCF of 1174 and 1177 = GCF of 1177 and 1174

Related Greatest Common Factor of 1174

Related Greatest Common Factor of 1177

Frequently Asked Questions on GCF of 1174 and 1177

1. What is the GCF of 1174 and 1177?

Answer: GCF of 1174 and 1177 is 1.

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 1177?

Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.

4. How to Find the GCF of 1174 and 1177?

Answer:

Greatest Common Factor of 1174 and 1177 = 1

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1177

1177 = 11 x 107

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 1174 and 1177 is 1