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 3222, 3224 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3222 and 3224 is 2.
GCF(3222,3224) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3222
2 | 3222 |
3 | 1611 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 3222 are 2,3,179. Prime factorization of 3222 in exponential form is:
3222 = 21×32×1791
Prime Factorization of 3224
2 | 3224 |
2 | 1612 |
2 | 806 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 3224 are 2,13,31. Prime factorization of 3224 in exponential form is:
3224 = 23×131×311
∴ So by taking common prime factors GCF of 3222 and 3224 is 2
Factors of 3222
List of positive integer factors of 3222 that divides 3222 without a remainder.
1,2,3,6,9,18,179,358,537,1074,1611,3222
Factors of 3224
List of positive integer factors of 3224 that divides 3224 without a remainder.
1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224
Greatest Common Factor
We found the factors and prime factorization of 3222 and 3224. The biggest common factor number is the GCF number.
So the greatest common factor 3222 and 3224 is 2.
Also check out the Least Common Multiple of 3222 and 3224
(i) The GCF of 3222 and 3224 is associative
GCF of 3222 and 3224 = GCF of 3224 and 3222
1. What is the GCF of 3222 and 3224?
Answer: GCF of 3222 and 3224 is 2.
2. What are the Factors of 3222?
Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.
3. What are the Factors of 3224?
Answer: Factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224. There are 16 integers that are factors of 3224. The greatest factor of 3224 is 3224.
4. How to Find the GCF of 3222 and 3224?
Answer:
Greatest Common Factor of 3222 and 3224 = 2
Step 1: Find the prime factorization of 3222
3222 = 2 x 3 x 3 x 179
Step 2: Find the prime factorization of 3224
3224 = 2 x 2 x 2 x 13 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3222 and 3224 is 2