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 7442, 7447 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7442 and 7447 is 1.
GCF(7442,7447) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7442
2 | 7442 |
61 | 3721 |
61 | 61 |
1 |
Prime factors of 7442 are 2,61. Prime factorization of 7442 in exponential form is:
7442 = 21×612
Prime Factorization of 7447
11 | 7447 |
677 | 677 |
1 |
Prime factors of 7447 are 11,677. Prime factorization of 7447 in exponential form is:
7447 = 111×6771
∴ So by taking common prime factors GCF of 7442 and 7447 is 1
Factors of 7442
List of positive integer factors of 7442 that divides 7442 without a remainder.
1,2,61,122,3721,7442
Factors of 7447
List of positive integer factors of 7447 that divides 7447 without a remainder.
1,11,677,7447
Greatest Common Factor
We found the factors and prime factorization of 7442 and 7447. The biggest common factor number is the GCF number.
So the greatest common factor 7442 and 7447 is 1.
Also check out the Least Common Multiple of 7442 and 7447
(i) The GCF of 7442 and 7447 is associative
GCF of 7442 and 7447 = GCF of 7447 and 7442
1. What is the GCF of 7442 and 7447?
Answer: GCF of 7442 and 7447 is 1.
2. What are the Factors of 7442?
Answer: Factors of 7442 are 1, 2, 61, 122, 3721, 7442. There are 6 integers that are factors of 7442. The greatest factor of 7442 is 7442.
3. What are the Factors of 7447?
Answer: Factors of 7447 are 1, 11, 677, 7447. There are 4 integers that are factors of 7447. The greatest factor of 7447 is 7447.
4. How to Find the GCF of 7442 and 7447?
Answer:
Greatest Common Factor of 7442 and 7447 = 1
Step 1: Find the prime factorization of 7442
7442 = 2 x 61 x 61
Step 2: Find the prime factorization of 7447
7447 = 11 x 677
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 7442 and 7447 is 1