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 8172, 8180 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8172 and 8180 is 4.
GCF(8172,8180) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8172
2 | 8172 |
2 | 4086 |
3 | 2043 |
3 | 681 |
227 | 227 |
1 |
Prime factors of 8172 are 2,3,227. Prime factorization of 8172 in exponential form is:
8172 = 22×32×2271
Prime Factorization of 8180
2 | 8180 |
2 | 4090 |
5 | 2045 |
409 | 409 |
1 |
Prime factors of 8180 are 2,5,409. Prime factorization of 8180 in exponential form is:
8180 = 22×51×4091
∴ So by taking common prime factors GCF of 8172 and 8180 is 4
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
Factors of 8180
List of positive integer factors of 8180 that divides 8180 without a remainder.
1,2,4,5,10,20,409,818,1636,2045,4090,8180
Greatest Common Factor
We found the factors and prime factorization of 8172 and 8180. The biggest common factor number is the GCF number.
So the greatest common factor 8172 and 8180 is 4.
Also check out the Least Common Multiple of 8172 and 8180
(i) The GCF of 8172 and 8180 is associative
GCF of 8172 and 8180 = GCF of 8180 and 8172
1. What is the GCF of 8172 and 8180?
Answer: GCF of 8172 and 8180 is 4.
2. 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.
3. What are the Factors of 8180?
Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.
4. How to Find the GCF of 8172 and 8180?
Answer:
Greatest Common Factor of 8172 and 8180 = 4
Step 1: Find the prime factorization of 8172
8172 = 2 x 2 x 3 x 3 x 227
Step 2: Find the prime factorization of 8180
8180 = 2 x 2 x 5 x 409
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8172 and 8180 is 4