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 3185, 3192 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3185 and 3192 is 7.
GCF(3185,3192) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3185
5 | 3185 |
7 | 637 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 3185 are 5,7,13. Prime factorization of 3185 in exponential form is:
3185 = 51×72×131
Prime Factorization of 3192
2 | 3192 |
2 | 1596 |
2 | 798 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 3192 are 2,3,7,19. Prime factorization of 3192 in exponential form is:
3192 = 23×31×71×191
∴ So by taking common prime factors GCF of 3185 and 3192 is 7
Factors of 3185
List of positive integer factors of 3185 that divides 3185 without a remainder.
1,5,7,13,35,49,65,91,245,455,637,3185
Factors of 3192
List of positive integer factors of 3192 that divides 3192 without a remainder.
1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Greatest Common Factor
We found the factors and prime factorization of 3185 and 3192. The biggest common factor number is the GCF number.
So the greatest common factor 3185 and 3192 is 7.
Also check out the Least Common Multiple of 3185 and 3192
(i) The GCF of 3185 and 3192 is associative
GCF of 3185 and 3192 = GCF of 3192 and 3185
1. What is the GCF of 3185 and 3192?
Answer: GCF of 3185 and 3192 is 7.
2. What are the Factors of 3185?
Answer: Factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185. There are 12 integers that are factors of 3185. The greatest factor of 3185 is 3185.
3. What are the Factors of 3192?
Answer: Factors of 3192 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192. There are 32 integers that are factors of 3192. The greatest factor of 3192 is 3192.
4. How to Find the GCF of 3185 and 3192?
Answer:
Greatest Common Factor of 3185 and 3192 = 7
Step 1: Find the prime factorization of 3185
3185 = 5 x 7 x 7 x 13
Step 2: Find the prime factorization of 3192
3192 = 2 x 2 x 2 x 3 x 7 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 3185 and 3192 is 7