Greatest Common Factor of 1162 and 1170

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 1162, 1170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1162 and 1170 is 2.

GCF(1162,1170) = 2

GCF of 1162 and 1170

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

GCF of:
and

Greatest Common Factor of 1162 and 1170

GCF of 1162 and 1170 is 2

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

Prime Factorization of 1170


2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 1170 are 2,3,5,13. Prime factorization of 1170 in exponential form is:

1170 = 21×32×51×131

∴ So by taking common prime factors GCF of 1162 and 1170 is 2

Greatest Common Factor of 1162 and 1170 by matching factors method

Factors of 1162

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

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

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors and prime factorization of 1162 and 1170. The biggest common factor number is the GCF number.
So the greatest common factor 1162 and 1170 is 2.

Also check out the Least Common Multiple of 1162 and 1170

Properties of GCF 1162 and 1170

(i) The GCF of 1162 and 1170 is associative

GCF of 1162 and 1170 = GCF of 1170 and 1162

Related Greatest Common Factor of 1162

Related Greatest Common Factor of 1170

Frequently Asked Questions on GCF of 1162 and 1170

1. What is the GCF of 1162 and 1170?

Answer: GCF of 1162 and 1170 is 2.

2. 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.

3. What are the Factors of 1170?

Answer: Factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. There are 24 integers that are factors of 1170. The greatest factor of 1170 is 1170.

4. How to Find the GCF of 1162 and 1170?

Answer:

Greatest Common Factor of 1162 and 1170 = 2

Step 1: Find the prime factorization of 1162

1162 = 2 x 7 x 83

Step 2: Find the prime factorization of 1170

1170 = 2 x 3 x 3 x 5 x 13

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 1162 and 1170 is 2