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 897, 901 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 897 and 901 is 1.
GCF(897,901) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 897
3 | 897 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 897 are 3,13,23. Prime factorization of 897 in exponential form is:
897 = 31×131×231
Prime Factorization of 901
17 | 901 |
53 | 53 |
1 |
Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:
901 = 171×531
∴ So by taking common prime factors GCF of 897 and 901 is 1
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors and prime factorization of 897 and 901. The biggest common factor number is the GCF number.
So the greatest common factor 897 and 901 is 1.
Also check out the Least Common Multiple of 897 and 901
(i) The GCF of 897 and 901 is associative
GCF of 897 and 901 = GCF of 901 and 897
1. What is the GCF of 897 and 901?
Answer: GCF of 897 and 901 is 1.
2. What are the Factors of 897?
Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.
3. What are the Factors of 901?
Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.
4. How to Find the GCF of 897 and 901?
Answer:
Greatest Common Factor of 897 and 901 = 1
Step 1: Find the prime factorization of 897
897 = 3 x 13 x 23
Step 2: Find the prime factorization of 901
901 = 17 x 53
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 897 and 901 is 1