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 3949, 3953 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3949 and 3953 is 1.
GCF(3949,3953) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3949
11 | 3949 |
359 | 359 |
1 |
Prime factors of 3949 are 11,359. Prime factorization of 3949 in exponential form is:
3949 = 111×3591
Prime Factorization of 3953
59 | 3953 |
67 | 67 |
1 |
Prime factors of 3953 are 59,67. Prime factorization of 3953 in exponential form is:
3953 = 591×671
∴ So by taking common prime factors GCF of 3949 and 3953 is 1
Factors of 3949
List of positive integer factors of 3949 that divides 3949 without a remainder.
1,11,359,3949
Factors of 3953
List of positive integer factors of 3953 that divides 3953 without a remainder.
1,59,67,3953
Greatest Common Factor
We found the factors and prime factorization of 3949 and 3953. The biggest common factor number is the GCF number.
So the greatest common factor 3949 and 3953 is 1.
Also check out the Least Common Multiple of 3949 and 3953
(i) The GCF of 3949 and 3953 is associative
GCF of 3949 and 3953 = GCF of 3953 and 3949
1. What is the GCF of 3949 and 3953?
Answer: GCF of 3949 and 3953 is 1.
2. What are the Factors of 3949?
Answer: Factors of 3949 are 1, 11, 359, 3949. There are 4 integers that are factors of 3949. The greatest factor of 3949 is 3949.
3. What are the Factors of 3953?
Answer: Factors of 3953 are 1, 59, 67, 3953. There are 4 integers that are factors of 3953. The greatest factor of 3953 is 3953.
4. How to Find the GCF of 3949 and 3953?
Answer:
Greatest Common Factor of 3949 and 3953 = 1
Step 1: Find the prime factorization of 3949
3949 = 11 x 359
Step 2: Find the prime factorization of 3953
3953 = 59 x 67
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 3949 and 3953 is 1