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 3969, 3973 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3969 and 3973 is 1.
GCF(3969,3973) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3969
3 | 3969 |
3 | 1323 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:
3969 = 34×72
Prime Factorization of 3973
29 | 3973 |
137 | 137 |
1 |
Prime factors of 3973 are 29,137. Prime factorization of 3973 in exponential form is:
3973 = 291×1371
∴ So by taking common prime factors GCF of 3969 and 3973 is 1
Factors of 3969
List of positive integer factors of 3969 that divides 3969 without a remainder.
1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
Factors of 3973
List of positive integer factors of 3973 that divides 3973 without a remainder.
1,29,137,3973
Greatest Common Factor
We found the factors and prime factorization of 3969 and 3973. The biggest common factor number is the GCF number.
So the greatest common factor 3969 and 3973 is 1.
Also check out the Least Common Multiple of 3969 and 3973
(i) The GCF of 3969 and 3973 is associative
GCF of 3969 and 3973 = GCF of 3973 and 3969
1. What is the GCF of 3969 and 3973?
Answer: GCF of 3969 and 3973 is 1.
2. What are the Factors of 3969?
Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.
3. What are the Factors of 3973?
Answer: Factors of 3973 are 1, 29, 137, 3973. There are 4 integers that are factors of 3973. The greatest factor of 3973 is 3973.
4. How to Find the GCF of 3969 and 3973?
Answer:
Greatest Common Factor of 3969 and 3973 = 1
Step 1: Find the prime factorization of 3969
3969 = 3 x 3 x 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 3973
3973 = 29 x 137
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 3969 and 3973 is 1