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 3780, 3787 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3780 and 3787 is 7.
GCF(3780,3787) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3780
2 | 3780 |
2 | 1890 |
3 | 945 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 3780 are 2,3,5,7. Prime factorization of 3780 in exponential form is:
3780 = 22×33×51×71
Prime Factorization of 3787
7 | 3787 |
541 | 541 |
1 |
Prime factors of 3787 are 7,541. Prime factorization of 3787 in exponential form is:
3787 = 71×5411
∴ So by taking common prime factors GCF of 3780 and 3787 is 7
Factors of 3780
List of positive integer factors of 3780 that divides 3780 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Factors of 3787
List of positive integer factors of 3787 that divides 3787 without a remainder.
1,7,541,3787
Greatest Common Factor
We found the factors and prime factorization of 3780 and 3787. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3787 is 7.
Also check out the Least Common Multiple of 3780 and 3787
(i) The GCF of 3780 and 3787 is associative
GCF of 3780 and 3787 = GCF of 3787 and 3780
1. What is the GCF of 3780 and 3787?
Answer: GCF of 3780 and 3787 is 7.
2. What are the Factors of 3780?
Answer: Factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780. There are 48 integers that are factors of 3780. The greatest factor of 3780 is 3780.
3. What are the Factors of 3787?
Answer: Factors of 3787 are 1, 7, 541, 3787. There are 4 integers that are factors of 3787. The greatest factor of 3787 is 3787.
4. How to Find the GCF of 3780 and 3787?
Answer:
Greatest Common Factor of 3780 and 3787 = 7
Step 1: Find the prime factorization of 3780
3780 = 2 x 2 x 3 x 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 3787
3787 = 7 x 541
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 3780 and 3787 is 7