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 3724, 3732 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3724 and 3732 is 4.
GCF(3724,3732) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3724
2 | 3724 |
2 | 1862 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 3724 are 2,7,19. Prime factorization of 3724 in exponential form is:
3724 = 22×72×191
Prime Factorization of 3732
2 | 3732 |
2 | 1866 |
3 | 933 |
311 | 311 |
1 |
Prime factors of 3732 are 2,3,311. Prime factorization of 3732 in exponential form is:
3732 = 22×31×3111
∴ So by taking common prime factors GCF of 3724 and 3732 is 4
Factors of 3724
List of positive integer factors of 3724 that divides 3724 without a remainder.
1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Factors of 3732
List of positive integer factors of 3732 that divides 3732 without a remainder.
1,2,3,4,6,12,311,622,933,1244,1866,3732
Greatest Common Factor
We found the factors and prime factorization of 3724 and 3732. The biggest common factor number is the GCF number.
So the greatest common factor 3724 and 3732 is 4.
Also check out the Least Common Multiple of 3724 and 3732
(i) The GCF of 3724 and 3732 is associative
GCF of 3724 and 3732 = GCF of 3732 and 3724
1. What is the GCF of 3724 and 3732?
Answer: GCF of 3724 and 3732 is 4.
2. What are the Factors of 3724?
Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.
3. What are the Factors of 3732?
Answer: Factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732. There are 12 integers that are factors of 3732. The greatest factor of 3732 is 3732.
4. How to Find the GCF of 3724 and 3732?
Answer:
Greatest Common Factor of 3724 and 3732 = 4
Step 1: Find the prime factorization of 3724
3724 = 2 x 2 x 7 x 7 x 19
Step 2: Find the prime factorization of 3732
3732 = 2 x 2 x 3 x 311
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 3724 and 3732 is 4