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 1176, 1177 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1176 and 1177 is 1.
GCF(1176,1177) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1176
2 | 1176 |
2 | 588 |
2 | 294 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 1176 are 2,3,7. Prime factorization of 1176 in exponential form is:
1176 = 23×31×72
Prime Factorization of 1177
11 | 1177 |
107 | 107 |
1 |
Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:
1177 = 111×1071
∴ So by taking common prime factors GCF of 1176 and 1177 is 1
Factors of 1176
List of positive integer factors of 1176 that divides 1176 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1,11,107,1177
Greatest Common Factor
We found the factors and prime factorization of 1176 and 1177. The biggest common factor number is the GCF number.
So the greatest common factor 1176 and 1177 is 1.
Also check out the Least Common Multiple of 1176 and 1177
(i) The GCF of 1176 and 1177 is associative
GCF of 1176 and 1177 = GCF of 1177 and 1176
1. What is the GCF of 1176 and 1177?
Answer: GCF of 1176 and 1177 is 1.
2. What are the Factors of 1176?
Answer: Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. There are 24 integers that are factors of 1176. The greatest factor of 1176 is 1176.
3. What are the Factors of 1177?
Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.
4. How to Find the GCF of 1176 and 1177?
Answer:
Greatest Common Factor of 1176 and 1177 = 1
Step 1: Find the prime factorization of 1176
1176 = 2 x 2 x 2 x 3 x 7 x 7
Step 2: Find the prime factorization of 1177
1177 = 11 x 107
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 1176 and 1177 is 1