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 3262, 3267 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3262 and 3267 is 1.
GCF(3262,3267) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3262
2 | 3262 |
7 | 1631 |
233 | 233 |
1 |
Prime factors of 3262 are 2,7,233. Prime factorization of 3262 in exponential form is:
3262 = 21×71×2331
Prime Factorization of 3267
3 | 3267 |
3 | 1089 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 3267 are 3,11. Prime factorization of 3267 in exponential form is:
3267 = 33×112
∴ So by taking common prime factors GCF of 3262 and 3267 is 1
Factors of 3262
List of positive integer factors of 3262 that divides 3262 without a remainder.
1,2,7,14,233,466,1631,3262
Factors of 3267
List of positive integer factors of 3267 that divides 3267 without a remainder.
1,3,9,11,27,33,99,121,297,363,1089,3267
Greatest Common Factor
We found the factors and prime factorization of 3262 and 3267. The biggest common factor number is the GCF number.
So the greatest common factor 3262 and 3267 is 1.
Also check out the Least Common Multiple of 3262 and 3267
(i) The GCF of 3262 and 3267 is associative
GCF of 3262 and 3267 = GCF of 3267 and 3262
1. What is the GCF of 3262 and 3267?
Answer: GCF of 3262 and 3267 is 1.
2. What are the Factors of 3262?
Answer: Factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262. There are 8 integers that are factors of 3262. The greatest factor of 3262 is 3262.
3. What are the Factors of 3267?
Answer: Factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267. There are 12 integers that are factors of 3267. The greatest factor of 3267 is 3267.
4. How to Find the GCF of 3262 and 3267?
Answer:
Greatest Common Factor of 3262 and 3267 = 1
Step 1: Find the prime factorization of 3262
3262 = 2 x 7 x 233
Step 2: Find the prime factorization of 3267
3267 = 3 x 3 x 3 x 11 x 11
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 3262 and 3267 is 1