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 10447, 10452 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10447 and 10452 is 1.
GCF(10447,10452) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10447
31 | 10447 |
337 | 337 |
1 |
Prime factors of 10447 are 31,337. Prime factorization of 10447 in exponential form is:
10447 = 311×3371
Prime Factorization of 10452
2 | 10452 |
2 | 5226 |
3 | 2613 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 10452 are 2,3,13,67. Prime factorization of 10452 in exponential form is:
10452 = 22×31×131×671
∴ So by taking common prime factors GCF of 10447 and 10452 is 1
Factors of 10447
List of positive integer factors of 10447 that divides 10447 without a remainder.
1,31,337,10447
Factors of 10452
List of positive integer factors of 10452 that divides 10452 without a remainder.
1,2,3,4,6,12,13,26,39,52,67,78,134,156,201,268,402,804,871,1742,2613,3484,5226,10452
Greatest Common Factor
We found the factors and prime factorization of 10447 and 10452. The biggest common factor number is the GCF number.
So the greatest common factor 10447 and 10452 is 1.
Also check out the Least Common Multiple of 10447 and 10452
(i) The GCF of 10447 and 10452 is associative
GCF of 10447 and 10452 = GCF of 10452 and 10447
1. What is the GCF of 10447 and 10452?
Answer: GCF of 10447 and 10452 is 1.
2. What are the Factors of 10447?
Answer: Factors of 10447 are 1, 31, 337, 10447. There are 4 integers that are factors of 10447. The greatest factor of 10447 is 10447.
3. What are the Factors of 10452?
Answer: Factors of 10452 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 67, 78, 134, 156, 201, 268, 402, 804, 871, 1742, 2613, 3484, 5226, 10452. There are 24 integers that are factors of 10452. The greatest factor of 10452 is 10452.
4. How to Find the GCF of 10447 and 10452?
Answer:
Greatest Common Factor of 10447 and 10452 = 1
Step 1: Find the prime factorization of 10447
10447 = 31 x 337
Step 2: Find the prime factorization of 10452
10452 = 2 x 2 x 3 x 13 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 10447 and 10452 is 1