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 8668, 8672 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8668 and 8672 is 4.
GCF(8668,8672) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8668
2 | 8668 |
2 | 4334 |
11 | 2167 |
197 | 197 |
1 |
Prime factors of 8668 are 2,11,197. Prime factorization of 8668 in exponential form is:
8668 = 22×111×1971
Prime Factorization of 8672
2 | 8672 |
2 | 4336 |
2 | 2168 |
2 | 1084 |
2 | 542 |
271 | 271 |
1 |
Prime factors of 8672 are 2,271. Prime factorization of 8672 in exponential form is:
8672 = 25×2711
∴ So by taking common prime factors GCF of 8668 and 8672 is 4
Factors of 8668
List of positive integer factors of 8668 that divides 8668 without a remainder.
1,2,4,11,22,44,197,394,788,2167,4334,8668
Factors of 8672
List of positive integer factors of 8672 that divides 8672 without a remainder.
1,2,4,8,16,32,271,542,1084,2168,4336,8672
Greatest Common Factor
We found the factors and prime factorization of 8668 and 8672. The biggest common factor number is the GCF number.
So the greatest common factor 8668 and 8672 is 4.
Also check out the Least Common Multiple of 8668 and 8672
(i) The GCF of 8668 and 8672 is associative
GCF of 8668 and 8672 = GCF of 8672 and 8668
1. What is the GCF of 8668 and 8672?
Answer: GCF of 8668 and 8672 is 4.
2. What are the Factors of 8668?
Answer: Factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668. There are 12 integers that are factors of 8668. The greatest factor of 8668 is 8668.
3. What are the Factors of 8672?
Answer: Factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672. There are 12 integers that are factors of 8672. The greatest factor of 8672 is 8672.
4. How to Find the GCF of 8668 and 8672?
Answer:
Greatest Common Factor of 8668 and 8672 = 4
Step 1: Find the prime factorization of 8668
8668 = 2 x 2 x 11 x 197
Step 2: Find the prime factorization of 8672
8672 = 2 x 2 x 2 x 2 x 2 x 271
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 8668 and 8672 is 4