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 945, 946 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 945 and 946 is 1.
GCF(945,946) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 945
3 | 945 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 945 are 3,5,7. Prime factorization of 945 in exponential form is:
945 = 33×51×71
Prime Factorization of 946
2 | 946 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 946 are 2,11,43. Prime factorization of 946 in exponential form is:
946 = 21×111×431
∴ So by taking common prime factors GCF of 945 and 946 is 1
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors and prime factorization of 945 and 946. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 946 is 1.
Also check out the Least Common Multiple of 945 and 946
(i) The GCF of 945 and 946 is associative
GCF of 945 and 946 = GCF of 946 and 945
1. What is the GCF of 945 and 946?
Answer: GCF of 945 and 946 is 1.
2. What are the Factors of 945?
Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.
3. What are the Factors of 946?
Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.
4. How to Find the GCF of 945 and 946?
Answer:
Greatest Common Factor of 945 and 946 = 1
Step 1: Find the prime factorization of 945
945 = 3 x 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 946
946 = 2 x 11 x 43
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 945 and 946 is 1