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 3368, 3372 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3368 and 3372 is 4.
GCF(3368,3372) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3368
2 | 3368 |
2 | 1684 |
2 | 842 |
421 | 421 |
1 |
Prime factors of 3368 are 2,421. Prime factorization of 3368 in exponential form is:
3368 = 23×4211
Prime Factorization of 3372
2 | 3372 |
2 | 1686 |
3 | 843 |
281 | 281 |
1 |
Prime factors of 3372 are 2,3,281. Prime factorization of 3372 in exponential form is:
3372 = 22×31×2811
∴ So by taking common prime factors GCF of 3368 and 3372 is 4
Factors of 3368
List of positive integer factors of 3368 that divides 3368 without a remainder.
1,2,4,8,421,842,1684,3368
Factors of 3372
List of positive integer factors of 3372 that divides 3372 without a remainder.
1,2,3,4,6,12,281,562,843,1124,1686,3372
Greatest Common Factor
We found the factors and prime factorization of 3368 and 3372. The biggest common factor number is the GCF number.
So the greatest common factor 3368 and 3372 is 4.
Also check out the Least Common Multiple of 3368 and 3372
(i) The GCF of 3368 and 3372 is associative
GCF of 3368 and 3372 = GCF of 3372 and 3368
1. What is the GCF of 3368 and 3372?
Answer: GCF of 3368 and 3372 is 4.
2. What are the Factors of 3368?
Answer: Factors of 3368 are 1, 2, 4, 8, 421, 842, 1684, 3368. There are 8 integers that are factors of 3368. The greatest factor of 3368 is 3368.
3. What are the Factors of 3372?
Answer: Factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372. There are 12 integers that are factors of 3372. The greatest factor of 3372 is 3372.
4. How to Find the GCF of 3368 and 3372?
Answer:
Greatest Common Factor of 3368 and 3372 = 4
Step 1: Find the prime factorization of 3368
3368 = 2 x 2 x 2 x 421
Step 2: Find the prime factorization of 3372
3372 = 2 x 2 x 3 x 281
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 3368 and 3372 is 4