Greatest Common Factor of 3162 and 3164

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 3162, 3164 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3162 and 3164 is 2.

GCF(3162,3164) = 2

GCF of 3162 and 3164

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

GCF of:
and

Greatest Common Factor of 3162 and 3164

GCF of 3162 and 3164 is 2

Prime Factorization of 3162


2 3162
3 1581
17 527
31 31
1

Prime factors of 3162 are 2,3,17,31. Prime factorization of 3162 in exponential form is:

3162 = 21×31×171×311

Prime Factorization of 3164


2 3164
2 1582
7 791
113 113
1

Prime factors of 3164 are 2,7,113. Prime factorization of 3164 in exponential form is:

3164 = 22×71×1131

∴ So by taking common prime factors GCF of 3162 and 3164 is 2

Greatest Common Factor of 3162 and 3164 by matching factors method

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Greatest Common Factor

We found the factors and prime factorization of 3162 and 3164. The biggest common factor number is the GCF number.
So the greatest common factor 3162 and 3164 is 2.

Also check out the Least Common Multiple of 3162 and 3164

Properties of GCF 3162 and 3164

(i) The GCF of 3162 and 3164 is associative

GCF of 3162 and 3164 = GCF of 3164 and 3162

Related Greatest Common Factor of 3162

Related Greatest Common Factor of 3164

Frequently Asked Questions on GCF of 3162 and 3164

1. What is the GCF of 3162 and 3164?

Answer: GCF of 3162 and 3164 is 2.

2. What are the Factors of 3162?

Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.

3. What are the Factors of 3164?

Answer: Factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164. There are 12 integers that are factors of 3164. The greatest factor of 3164 is 3164.

4. How to Find the GCF of 3162 and 3164?

Answer:

Greatest Common Factor of 3162 and 3164 = 2

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

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 3162 and 3164 is 2