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 8167, 8172 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8167 and 8172 is 1.
GCF(8167,8172) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8167
8167 | 8167 |
1 |
Prime factors of 8167 are 8167. Prime factorization of 8167 in exponential form is:
8167 = 81671
Prime Factorization of 8172
2 | 8172 |
2 | 4086 |
3 | 2043 |
3 | 681 |
227 | 227 |
1 |
Prime factors of 8172 are 2.Prime factorization of 8172 in exponential form is:
8172 = 22×32×2271
∴ So by taking common prime factors GCF of 8167 and 8172 is 1
Factors of 8167
List of positive integer factors of 8167 that divides 8167 without a remainder.
1,8167
Factors of 8172
List of positive integer factors of 8172 that divides 8172 without a remainder.
1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors and prime factorization of 8167 and 8172. The biggest common factor number is the GCF number.
So the greatest common factor 8167 and 8172 is 1.
Also check out the Least Common Multiple of 8167 and 8172
(i) The GCF of 8167 and 8172 is associative
GCF of 8167 and 8172 = GCF of 8172 and 8167
1. What is the GCF of 8167 and 8172?
Answer: GCF of 8167 and 8172 is 1.
2. What are the Factors of 8167?
Answer: Factors of 8167 are 1, 8167. There are 2 integers that are factors of 8167. The greatest factor of 8167 is 8167.
3. What are the Factors of 8172?
Answer: Factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172. There are 18 integers that are factors of 8172. The greatest factor of 8172 is 8172.
4. How to Find the GCF of 8167 and 8172?
Answer:
Greatest Common Factor of 8167 and 8172 = 1
Step 1: Find the prime factorization of 8167
8167 = 8167
Step 2: Find the prime factorization of 8172
8172 = 2 x 2 x 3 x 3 x 227
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 8167 and 8172 is 1