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 3348, 3352 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3348 and 3352 is 4.
GCF(3348,3352) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3348
2 | 3348 |
2 | 1674 |
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 3348 are 2,3,31. Prime factorization of 3348 in exponential form is:
3348 = 22×33×311
Prime Factorization of 3352
2 | 3352 |
2 | 1676 |
2 | 838 |
419 | 419 |
1 |
Prime factors of 3352 are 2,419. Prime factorization of 3352 in exponential form is:
3352 = 23×4191
∴ So by taking common prime factors GCF of 3348 and 3352 is 4
Factors of 3348
List of positive integer factors of 3348 that divides 3348 without a remainder.
1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348
Factors of 3352
List of positive integer factors of 3352 that divides 3352 without a remainder.
1,2,4,8,419,838,1676,3352
Greatest Common Factor
We found the factors and prime factorization of 3348 and 3352. The biggest common factor number is the GCF number.
So the greatest common factor 3348 and 3352 is 4.
Also check out the Least Common Multiple of 3348 and 3352
(i) The GCF of 3348 and 3352 is associative
GCF of 3348 and 3352 = GCF of 3352 and 3348
1. What is the GCF of 3348 and 3352?
Answer: GCF of 3348 and 3352 is 4.
2. What are the Factors of 3348?
Answer: Factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348. There are 24 integers that are factors of 3348. The greatest factor of 3348 is 3348.
3. What are the Factors of 3352?
Answer: Factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352. There are 8 integers that are factors of 3352. The greatest factor of 3352 is 3352.
4. How to Find the GCF of 3348 and 3352?
Answer:
Greatest Common Factor of 3348 and 3352 = 4
Step 1: Find the prime factorization of 3348
3348 = 2 x 2 x 3 x 3 x 3 x 31
Step 2: Find the prime factorization of 3352
3352 = 2 x 2 x 2 x 419
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 3348 and 3352 is 4