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 9122, 9130 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9122 and 9130 is 2.
GCF(9122,9130) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9122
2 | 9122 |
4561 | 4561 |
1 |
Prime factors of 9122 are 2,4561. Prime factorization of 9122 in exponential form is:
9122 = 21×45611
Prime Factorization of 9130
2 | 9130 |
5 | 4565 |
11 | 913 |
83 | 83 |
1 |
Prime factors of 9130 are 2,5,11,83. Prime factorization of 9130 in exponential form is:
9130 = 21×51×111×831
∴ So by taking common prime factors GCF of 9122 and 9130 is 2
Factors of 9122
List of positive integer factors of 9122 that divides 9122 without a remainder.
1,2,4561,9122
Factors of 9130
List of positive integer factors of 9130 that divides 9130 without a remainder.
1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Greatest Common Factor
We found the factors and prime factorization of 9122 and 9130. The biggest common factor number is the GCF number.
So the greatest common factor 9122 and 9130 is 2.
Also check out the Least Common Multiple of 9122 and 9130
(i) The GCF of 9122 and 9130 is associative
GCF of 9122 and 9130 = GCF of 9130 and 9122
1. What is the GCF of 9122 and 9130?
Answer: GCF of 9122 and 9130 is 2.
2. What are the Factors of 9122?
Answer: Factors of 9122 are 1, 2, 4561, 9122. There are 4 integers that are factors of 9122. The greatest factor of 9122 is 9122.
3. What are the Factors of 9130?
Answer: Factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130. There are 16 integers that are factors of 9130. The greatest factor of 9130 is 9130.
4. How to Find the GCF of 9122 and 9130?
Answer:
Greatest Common Factor of 9122 and 9130 = 2
Step 1: Find the prime factorization of 9122
9122 = 2 x 4561
Step 2: Find the prime factorization of 9130
9130 = 2 x 5 x 11 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9122 and 9130 is 2