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 121, 132 i.e. 11 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 121 and 132 is 11.
GCF(121,132) = 11
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 121
11 | 121 |
11 | 11 |
1 |
Prime factors of 121 are 11. Prime factorization of 121 in exponential form is:
121 = 112
Prime Factorization of 132
2 | 132 |
2 | 66 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 132 are 2.Prime factorization of 132 in exponential form is:
132 = 22×31×111
∴ So by taking common prime factors GCF of 121 and 132 is 11
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors and prime factorization of 121 and 132. The biggest common factor number is the GCF number.
So the greatest common factor 121 and 132 is 11.
Also check out the Least Common Multiple of 121 and 132
(i) The GCF of 121 and 132 is associative
GCF of 121 and 132 = GCF of 132 and 121
1. What is the GCF of 121 and 132?
Answer: GCF of 121 and 132 is 11.
2. What are the Factors of 121?
Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.
3. What are the Factors of 132?
Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.
4. How to Find the GCF of 121 and 132?
Answer:
Greatest Common Factor of 121 and 132 = 11
Step 1: Find the prime factorization of 121
121 = 11 x 11
Step 2: Find the prime factorization of 132
132 = 2 x 2 x 3 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 11
Step 4: Therefore, the greatest common factor of 121 and 132 is 11