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, 3728 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3725 and 3728 is 1.
GCF(3725,3728) = 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 3728
2 | 3728 |
2 | 1864 |
2 | 932 |
2 | 466 |
233 | 233 |
1 |
Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:
3728 = 24×2331
∴ So by taking common prime factors GCF of 3725 and 3728 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 3728
List of positive integer factors of 3728 that divides 3728 without a remainder.
1,2,4,8,16,233,466,932,1864,3728
Greatest Common Factor
We found the factors and prime factorization of 3725 and 3728. The biggest common factor number is the GCF number.
So the greatest common factor 3725 and 3728 is 1.
Also check out the Least Common Multiple of 3725 and 3728
(i) The GCF of 3725 and 3728 is associative
GCF of 3725 and 3728 = GCF of 3728 and 3725
1. What is the GCF of 3725 and 3728?
Answer: GCF of 3725 and 3728 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 3728?
Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.
4. How to Find the GCF of 3725 and 3728?
Answer:
Greatest Common Factor of 3725 and 3728 = 1
Step 1: Find the prime factorization of 3725
3725 = 5 x 5 x 149
Step 2: Find the prime factorization of 3728
3728 = 2 x 2 x 2 x 2 x 233
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 3728 is 1