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 3901, 3902 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3901 and 3902 is 1.
GCF(3901,3902) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3901
47 | 3901 |
83 | 83 |
1 |
Prime factors of 3901 are 47,83. Prime factorization of 3901 in exponential form is:
3901 = 471×831
Prime Factorization of 3902
2 | 3902 |
1951 | 1951 |
1 |
Prime factors of 3902 are 2,1951. Prime factorization of 3902 in exponential form is:
3902 = 21×19511
∴ So by taking common prime factors GCF of 3901 and 3902 is 1
Factors of 3901
List of positive integer factors of 3901 that divides 3901 without a remainder.
1,47,83,3901
Factors of 3902
List of positive integer factors of 3902 that divides 3902 without a remainder.
1,2,1951,3902
Greatest Common Factor
We found the factors and prime factorization of 3901 and 3902. The biggest common factor number is the GCF number.
So the greatest common factor 3901 and 3902 is 1.
Also check out the Least Common Multiple of 3901 and 3902
(i) The GCF of 3901 and 3902 is associative
GCF of 3901 and 3902 = GCF of 3902 and 3901
1. What is the GCF of 3901 and 3902?
Answer: GCF of 3901 and 3902 is 1.
2. What are the Factors of 3901?
Answer: Factors of 3901 are 1, 47, 83, 3901. There are 4 integers that are factors of 3901. The greatest factor of 3901 is 3901.
3. What are the Factors of 3902?
Answer: Factors of 3902 are 1, 2, 1951, 3902. There are 4 integers that are factors of 3902. The greatest factor of 3902 is 3902.
4. How to Find the GCF of 3901 and 3902?
Answer:
Greatest Common Factor of 3901 and 3902 = 1
Step 1: Find the prime factorization of 3901
3901 = 47 x 83
Step 2: Find the prime factorization of 3902
3902 = 2 x 1951
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 3901 and 3902 is 1