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 6968, 6973 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6968 and 6973 is 1.
GCF(6968,6973) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6968
2 | 6968 |
2 | 3484 |
2 | 1742 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 6968 are 2,13,67. Prime factorization of 6968 in exponential form is:
6968 = 23×131×671
Prime Factorization of 6973
19 | 6973 |
367 | 367 |
1 |
Prime factors of 6973 are 19,367. Prime factorization of 6973 in exponential form is:
6973 = 191×3671
∴ So by taking common prime factors GCF of 6968 and 6973 is 1
Factors of 6968
List of positive integer factors of 6968 that divides 6968 without a remainder.
1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Factors of 6973
List of positive integer factors of 6973 that divides 6973 without a remainder.
1,19,367,6973
Greatest Common Factor
We found the factors and prime factorization of 6968 and 6973. The biggest common factor number is the GCF number.
So the greatest common factor 6968 and 6973 is 1.
Also check out the Least Common Multiple of 6968 and 6973
(i) The GCF of 6968 and 6973 is associative
GCF of 6968 and 6973 = GCF of 6973 and 6968
1. What is the GCF of 6968 and 6973?
Answer: GCF of 6968 and 6973 is 1.
2. What are the Factors of 6968?
Answer: Factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968. There are 16 integers that are factors of 6968. The greatest factor of 6968 is 6968.
3. What are the Factors of 6973?
Answer: Factors of 6973 are 1, 19, 367, 6973. There are 4 integers that are factors of 6973. The greatest factor of 6973 is 6973.
4. How to Find the GCF of 6968 and 6973?
Answer:
Greatest Common Factor of 6968 and 6973 = 1
Step 1: Find the prime factorization of 6968
6968 = 2 x 2 x 2 x 13 x 67
Step 2: Find the prime factorization of 6973
6973 = 19 x 367
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 6968 and 6973 is 1