Greatest Common Factor of 1154 and 1162

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 1154, 1162 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1154 and 1162 is 2.

GCF(1154,1162) = 2

GCF of 1154 and 1162

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

GCF of:
and

Greatest Common Factor of 1154 and 1162

GCF of 1154 and 1162 is 2

Prime Factorization of 1154


2 1154
577 577
1

Prime factors of 1154 are 2,577. Prime factorization of 1154 in exponential form is:

1154 = 21×5771

Prime Factorization of 1162


2 1162
7 581
83 83
1

Prime factors of 1162 are 2,7,83. Prime factorization of 1162 in exponential form is:

1162 = 21×71×831

∴ So by taking common prime factors GCF of 1154 and 1162 is 2

Greatest Common Factor of 1154 and 1162 by matching factors method

Factors of 1154

List of positive integer factors of 1154 that divides 1154 without a remainder.

1,2,577,1154

Factors of 1162

List of positive integer factors of 1162 that divides 1162 without a remainder.

1,2,7,14,83,166,581,1162

Greatest Common Factor

We found the factors and prime factorization of 1154 and 1162. The biggest common factor number is the GCF number.
So the greatest common factor 1154 and 1162 is 2.

Also check out the Least Common Multiple of 1154 and 1162

Properties of GCF 1154 and 1162

(i) The GCF of 1154 and 1162 is associative

GCF of 1154 and 1162 = GCF of 1162 and 1154

Related Greatest Common Factor of 1154

Related Greatest Common Factor of 1162

Frequently Asked Questions on GCF of 1154 and 1162

1. What is the GCF of 1154 and 1162?

Answer: GCF of 1154 and 1162 is 2.

2. What are the Factors of 1154?

Answer: Factors of 1154 are 1, 2, 577, 1154. There are 4 integers that are factors of 1154. The greatest factor of 1154 is 1154.

3. What are the Factors of 1162?

Answer: Factors of 1162 are 1, 2, 7, 14, 83, 166, 581, 1162. There are 8 integers that are factors of 1162. The greatest factor of 1162 is 1162.

4. How to Find the GCF of 1154 and 1162?

Answer:

Greatest Common Factor of 1154 and 1162 = 2

Step 1: Find the prime factorization of 1154

1154 = 2 x 577

Step 2: Find the prime factorization of 1162

1162 = 2 x 7 x 83

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 1154 and 1162 is 2