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 8141, 8148 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8141 and 8148 is 7.
GCF(8141,8148) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8141
7 | 8141 |
1163 | 1163 |
1 |
Prime factors of 8141 are 7,1163. Prime factorization of 8141 in exponential form is:
8141 = 71×11631
Prime Factorization of 8148
2 | 8148 |
2 | 4074 |
3 | 2037 |
7 | 679 |
97 | 97 |
1 |
Prime factors of 8148 are 2,3,7,97. Prime factorization of 8148 in exponential form is:
8148 = 22×31×71×971
∴ So by taking common prime factors GCF of 8141 and 8148 is 7
Factors of 8141
List of positive integer factors of 8141 that divides 8141 without a remainder.
1,7,1163,8141
Factors of 8148
List of positive integer factors of 8148 that divides 8148 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors and prime factorization of 8141 and 8148. The biggest common factor number is the GCF number.
So the greatest common factor 8141 and 8148 is 7.
Also check out the Least Common Multiple of 8141 and 8148
(i) The GCF of 8141 and 8148 is associative
GCF of 8141 and 8148 = GCF of 8148 and 8141
1. What is the GCF of 8141 and 8148?
Answer: GCF of 8141 and 8148 is 7.
2. What are the Factors of 8141?
Answer: Factors of 8141 are 1, 7, 1163, 8141. There are 4 integers that are factors of 8141. The greatest factor of 8141 is 8141.
3. What are the Factors of 8148?
Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.
4. How to Find the GCF of 8141 and 8148?
Answer:
Greatest Common Factor of 8141 and 8148 = 7
Step 1: Find the prime factorization of 8141
8141 = 7 x 1163
Step 2: Find the prime factorization of 8148
8148 = 2 x 2 x 3 x 7 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 8141 and 8148 is 7