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 3152, 3156 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3152 and 3156 is 4.
GCF(3152,3156) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3156
2 | 3156 |
2 | 1578 |
3 | 789 |
263 | 263 |
1 |
Prime factors of 3156 are 2,3,263. Prime factorization of 3156 in exponential form is:
3156 = 22×31×2631
∴ So by taking common prime factors GCF of 3152 and 3156 is 4
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
Factors of 3156
List of positive integer factors of 3156 that divides 3156 without a remainder.
1,2,3,4,6,12,263,526,789,1052,1578,3156
Greatest Common Factor
We found the factors and prime factorization of 3152 and 3156. The biggest common factor number is the GCF number.
So the greatest common factor 3152 and 3156 is 4.
Also check out the Least Common Multiple of 3152 and 3156
(i) The GCF of 3152 and 3156 is associative
GCF of 3152 and 3156 = GCF of 3156 and 3152
1. What is the GCF of 3152 and 3156?
Answer: GCF of 3152 and 3156 is 4.
2. 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.
3. What are the Factors of 3156?
Answer: Factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156. There are 12 integers that are factors of 3156. The greatest factor of 3156 is 3156.
4. How to Find the GCF of 3152 and 3156?
Answer:
Greatest Common Factor of 3152 and 3156 = 4
Step 1: Find the prime factorization of 3152
3152 = 2 x 2 x 2 x 2 x 197
Step 2: Find the prime factorization of 3156
3156 = 2 x 2 x 3 x 263
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3152 and 3156 is 4