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 3436, 3444 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3436 and 3444 is 4.
GCF(3436,3444) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3436
2 | 3436 |
2 | 1718 |
859 | 859 |
1 |
Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:
3436 = 22×8591
Prime Factorization of 3444
2 | 3444 |
2 | 1722 |
3 | 861 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 3444 are 2,3,7,41. Prime factorization of 3444 in exponential form is:
3444 = 22×31×71×411
∴ So by taking common prime factors GCF of 3436 and 3444 is 4
Factors of 3436
List of positive integer factors of 3436 that divides 3436 without a remainder.
1,2,4,859,1718,3436
Factors of 3444
List of positive integer factors of 3444 that divides 3444 without a remainder.
1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors and prime factorization of 3436 and 3444. The biggest common factor number is the GCF number.
So the greatest common factor 3436 and 3444 is 4.
Also check out the Least Common Multiple of 3436 and 3444
(i) The GCF of 3436 and 3444 is associative
GCF of 3436 and 3444 = GCF of 3444 and 3436
1. What is the GCF of 3436 and 3444?
Answer: GCF of 3436 and 3444 is 4.
2. What are the Factors of 3436?
Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.
3. What are the Factors of 3444?
Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.
4. How to Find the GCF of 3436 and 3444?
Answer:
Greatest Common Factor of 3436 and 3444 = 4
Step 1: Find the prime factorization of 3436
3436 = 2 x 2 x 859
Step 2: Find the prime factorization of 3444
3444 = 2 x 2 x 3 x 7 x 41
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 3436 and 3444 is 4