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 3672, 3676 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3672 and 3676 is 4.
GCF(3672,3676) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3672
2 | 3672 |
2 | 1836 |
2 | 918 |
3 | 459 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 3672 are 2,3,17. Prime factorization of 3672 in exponential form is:
3672 = 23×33×171
Prime Factorization of 3676
2 | 3676 |
2 | 1838 |
919 | 919 |
1 |
Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:
3676 = 22×9191
∴ So by taking common prime factors GCF of 3672 and 3676 is 4
Factors of 3672
List of positive integer factors of 3672 that divides 3672 without a remainder.
1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672
Factors of 3676
List of positive integer factors of 3676 that divides 3676 without a remainder.
1,2,4,919,1838,3676
Greatest Common Factor
We found the factors and prime factorization of 3672 and 3676. The biggest common factor number is the GCF number.
So the greatest common factor 3672 and 3676 is 4.
Also check out the Least Common Multiple of 3672 and 3676
(i) The GCF of 3672 and 3676 is associative
GCF of 3672 and 3676 = GCF of 3676 and 3672
1. What is the GCF of 3672 and 3676?
Answer: GCF of 3672 and 3676 is 4.
2. What are the Factors of 3672?
Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.
3. What are the Factors of 3676?
Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.
4. How to Find the GCF of 3672 and 3676?
Answer:
Greatest Common Factor of 3672 and 3676 = 4
Step 1: Find the prime factorization of 3672
3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17
Step 2: Find the prime factorization of 3676
3676 = 2 x 2 x 919
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 3672 and 3676 is 4