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 7172, 7178 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7172 and 7178 is 2.
GCF(7172,7178) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7172
2 | 7172 |
2 | 3586 |
11 | 1793 |
163 | 163 |
1 |
Prime factors of 7172 are 2,11,163. Prime factorization of 7172 in exponential form is:
7172 = 22×111×1631
Prime Factorization of 7178
2 | 7178 |
37 | 3589 |
97 | 97 |
1 |
Prime factors of 7178 are 2,37,97. Prime factorization of 7178 in exponential form is:
7178 = 21×371×971
∴ So by taking common prime factors GCF of 7172 and 7178 is 2
Factors of 7172
List of positive integer factors of 7172 that divides 7172 without a remainder.
1,2,4,11,22,44,163,326,652,1793,3586,7172
Factors of 7178
List of positive integer factors of 7178 that divides 7178 without a remainder.
1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors and prime factorization of 7172 and 7178. The biggest common factor number is the GCF number.
So the greatest common factor 7172 and 7178 is 2.
Also check out the Least Common Multiple of 7172 and 7178
(i) The GCF of 7172 and 7178 is associative
GCF of 7172 and 7178 = GCF of 7178 and 7172
1. What is the GCF of 7172 and 7178?
Answer: GCF of 7172 and 7178 is 2.
2. What are the Factors of 7172?
Answer: Factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172. There are 12 integers that are factors of 7172. The greatest factor of 7172 is 7172.
3. What are the Factors of 7178?
Answer: Factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178. There are 8 integers that are factors of 7178. The greatest factor of 7178 is 7178.
4. How to Find the GCF of 7172 and 7178?
Answer:
Greatest Common Factor of 7172 and 7178 = 2
Step 1: Find the prime factorization of 7172
7172 = 2 x 2 x 11 x 163
Step 2: Find the prime factorization of 7178
7178 = 2 x 37 x 97
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 7172 and 7178 is 2