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 11473, 11477 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11473 and 11477 is 1.
GCF(11473,11477) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11473
7 | 11473 |
11 | 1639 |
149 | 149 |
1 |
Prime factors of 11473 are 7,11,149. Prime factorization of 11473 in exponential form is:
11473 = 71×111×1491
Prime Factorization of 11477
23 | 11477 |
499 | 499 |
1 |
Prime factors of 11477 are 23,499. Prime factorization of 11477 in exponential form is:
11477 = 231×4991
∴ So by taking common prime factors GCF of 11473 and 11477 is 1
Factors of 11473
List of positive integer factors of 11473 that divides 11473 without a remainder.
1,7,11,77,149,1043,1639,11473
Factors of 11477
List of positive integer factors of 11477 that divides 11477 without a remainder.
1,23,499,11477
Greatest Common Factor
We found the factors and prime factorization of 11473 and 11477. The biggest common factor number is the GCF number.
So the greatest common factor 11473 and 11477 is 1.
Also check out the Least Common Multiple of 11473 and 11477
(i) The GCF of 11473 and 11477 is associative
GCF of 11473 and 11477 = GCF of 11477 and 11473
1. What is the GCF of 11473 and 11477?
Answer: GCF of 11473 and 11477 is 1.
2. What are the Factors of 11473?
Answer: Factors of 11473 are 1, 7, 11, 77, 149, 1043, 1639, 11473. There are 8 integers that are factors of 11473. The greatest factor of 11473 is 11473.
3. What are the Factors of 11477?
Answer: Factors of 11477 are 1, 23, 499, 11477. There are 4 integers that are factors of 11477. The greatest factor of 11477 is 11477.
4. How to Find the GCF of 11473 and 11477?
Answer:
Greatest Common Factor of 11473 and 11477 = 1
Step 1: Find the prime factorization of 11473
11473 = 7 x 11 x 149
Step 2: Find the prime factorization of 11477
11477 = 23 x 499
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 11473 and 11477 is 1