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, 3167 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3162 and 3167 is 1.
GCF(3162,3167) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 3167
3167 | 3167 |
1 |
Prime factors of 3167 are 3167. Prime factorization of 3167 in exponential form is:
3167 = 31671
∴ So by taking common prime factors GCF of 3162 and 3167 is 1
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 3167
List of positive integer factors of 3167 that divides 3167 without a remainder.
1,3167
Greatest Common Factor
We found the factors and prime factorization of 3162 and 3167. The biggest common factor number is the GCF number.
So the greatest common factor 3162 and 3167 is 1.
Also check out the Least Common Multiple of 3162 and 3167
(i) The GCF of 3162 and 3167 is associative
GCF of 3162 and 3167 = GCF of 3167 and 3162
1. What is the GCF of 3162 and 3167?
Answer: GCF of 3162 and 3167 is 1.
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 3167?
Answer: Factors of 3167 are 1, 3167. There are 2 integers that are factors of 3167. The greatest factor of 3167 is 3167.
4. How to Find the GCF of 3162 and 3167?
Answer:
Greatest Common Factor of 3162 and 3167 = 1
Step 1: Find the prime factorization of 3162
3162 = 2 x 3 x 17 x 31
Step 2: Find the prime factorization of 3167
3167 = 3167
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 3162 and 3167 is 1