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 3725, 3726 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3725 and 3726 is 1.
GCF(3725,3726) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3725
5 | 3725 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 3725 are 5,149. Prime factorization of 3725 in exponential form is:
3725 = 52×1491
Prime Factorization of 3726
2 | 3726 |
3 | 1863 |
3 | 621 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 3726 are 2,3,23. Prime factorization of 3726 in exponential form is:
3726 = 21×34×231
∴ So by taking common prime factors GCF of 3725 and 3726 is 1
Factors of 3725
List of positive integer factors of 3725 that divides 3725 without a remainder.
1,5,25,149,745,3725
Factors of 3726
List of positive integer factors of 3726 that divides 3726 without a remainder.
1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Greatest Common Factor
We found the factors and prime factorization of 3725 and 3726. The biggest common factor number is the GCF number.
So the greatest common factor 3725 and 3726 is 1.
Also check out the Least Common Multiple of 3725 and 3726
(i) The GCF of 3725 and 3726 is associative
GCF of 3725 and 3726 = GCF of 3726 and 3725
1. What is the GCF of 3725 and 3726?
Answer: GCF of 3725 and 3726 is 1.
2. What are the Factors of 3725?
Answer: Factors of 3725 are 1, 5, 25, 149, 745, 3725. There are 6 integers that are factors of 3725. The greatest factor of 3725 is 3725.
3. What are the Factors of 3726?
Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.
4. How to Find the GCF of 3725 and 3726?
Answer:
Greatest Common Factor of 3725 and 3726 = 1
Step 1: Find the prime factorization of 3725
3725 = 5 x 5 x 149
Step 2: Find the prime factorization of 3726
3726 = 2 x 3 x 3 x 3 x 3 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3725 and 3726 is 1