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 8973, 8974 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8973 and 8974 is 1.
GCF(8973,8974) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8973
3 | 8973 |
3 | 2991 |
997 | 997 |
1 |
Prime factors of 8973 are 3,997. Prime factorization of 8973 in exponential form is:
8973 = 32×9971
Prime Factorization of 8974
2 | 8974 |
7 | 4487 |
641 | 641 |
1 |
Prime factors of 8974 are 2,7,641. Prime factorization of 8974 in exponential form is:
8974 = 21×71×6411
∴ So by taking common prime factors GCF of 8973 and 8974 is 1
Factors of 8973
List of positive integer factors of 8973 that divides 8973 without a remainder.
1,3,9,997,2991,8973
Factors of 8974
List of positive integer factors of 8974 that divides 8974 without a remainder.
1,2,7,14,641,1282,4487,8974
Greatest Common Factor
We found the factors and prime factorization of 8973 and 8974. The biggest common factor number is the GCF number.
So the greatest common factor 8973 and 8974 is 1.
Also check out the Least Common Multiple of 8973 and 8974
(i) The GCF of 8973 and 8974 is associative
GCF of 8973 and 8974 = GCF of 8974 and 8973
1. What is the GCF of 8973 and 8974?
Answer: GCF of 8973 and 8974 is 1.
2. What are the Factors of 8973?
Answer: Factors of 8973 are 1, 3, 9, 997, 2991, 8973. There are 6 integers that are factors of 8973. The greatest factor of 8973 is 8973.
3. What are the Factors of 8974?
Answer: Factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974. There are 8 integers that are factors of 8974. The greatest factor of 8974 is 8974.
4. How to Find the GCF of 8973 and 8974?
Answer:
Greatest Common Factor of 8973 and 8974 = 1
Step 1: Find the prime factorization of 8973
8973 = 3 x 3 x 997
Step 2: Find the prime factorization of 8974
8974 = 2 x 7 x 641
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 8973 and 8974 is 1