Greatest Common Factor of 3146 and 3152

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 3146, 3152 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3146 and 3152 is 2.

GCF(3146,3152) = 2

GCF of 3146 and 3152

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

GCF of:
and

Greatest Common Factor of 3146 and 3152

GCF of 3146 and 3152 is 2

Prime Factorization of 3146


2 3146
11 1573
11 143
13 13
1

Prime factors of 3146 are 2,11,13. Prime factorization of 3146 in exponential form is:

3146 = 21×112×131

Prime Factorization of 3152


2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 3152 are 2,197. Prime factorization of 3152 in exponential form is:

3152 = 24×1971

∴ So by taking common prime factors GCF of 3146 and 3152 is 2

Greatest Common Factor of 3146 and 3152 by matching factors method

Factors of 3146

List of positive integer factors of 3146 that divides 3146 without a remainder.

1,2,11,13,22,26,121,143,242,286,1573,3146

Factors of 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1,2,4,8,16,197,394,788,1576,3152

Greatest Common Factor

We found the factors and prime factorization of 3146 and 3152. The biggest common factor number is the GCF number.
So the greatest common factor 3146 and 3152 is 2.

Also check out the Least Common Multiple of 3146 and 3152

Properties of GCF 3146 and 3152

(i) The GCF of 3146 and 3152 is associative

GCF of 3146 and 3152 = GCF of 3152 and 3146

Related Greatest Common Factor of 3146

Related Greatest Common Factor of 3152

Frequently Asked Questions on GCF of 3146 and 3152

1. What is the GCF of 3146 and 3152?

Answer: GCF of 3146 and 3152 is 2.

2. What are the Factors of 3146?

Answer: Factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146. There are 12 integers that are factors of 3146. The greatest factor of 3146 is 3146.

3. What are the Factors of 3152?

Answer: Factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152. There are 10 integers that are factors of 3152. The greatest factor of 3152 is 3152.

4. How to Find the GCF of 3146 and 3152?

Answer:

Greatest Common Factor of 3146 and 3152 = 2

Step 1: Find the prime factorization of 3146

3146 = 2 x 11 x 11 x 13

Step 2: Find the prime factorization of 3152

3152 = 2 x 2 x 2 x 2 x 197

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 3146 and 3152 is 2