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 1668, 1672 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1668 and 1672 is 4.
GCF(1668,1672) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1668
2 | 1668 |
2 | 834 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 1668 are 2,3,139. Prime factorization of 1668 in exponential form is:
1668 = 22×31×1391
Prime Factorization of 1672
2 | 1672 |
2 | 836 |
2 | 418 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 1672 are 2,11,19. Prime factorization of 1672 in exponential form is:
1672 = 23×111×191
∴ So by taking common prime factors GCF of 1668 and 1672 is 4
Factors of 1668
List of positive integer factors of 1668 that divides 1668 without a remainder.
1,2,3,4,6,12,139,278,417,556,834,1668
Factors of 1672
List of positive integer factors of 1672 that divides 1672 without a remainder.
1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672
Greatest Common Factor
We found the factors and prime factorization of 1668 and 1672. The biggest common factor number is the GCF number.
So the greatest common factor 1668 and 1672 is 4.
Also check out the Least Common Multiple of 1668 and 1672
(i) The GCF of 1668 and 1672 is associative
GCF of 1668 and 1672 = GCF of 1672 and 1668
1. What is the GCF of 1668 and 1672?
Answer: GCF of 1668 and 1672 is 4.
2. What are the Factors of 1668?
Answer: Factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668. There are 12 integers that are factors of 1668. The greatest factor of 1668 is 1668.
3. What are the Factors of 1672?
Answer: Factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672. There are 16 integers that are factors of 1672. The greatest factor of 1672 is 1672.
4. How to Find the GCF of 1668 and 1672?
Answer:
Greatest Common Factor of 1668 and 1672 = 4
Step 1: Find the prime factorization of 1668
1668 = 2 x 2 x 3 x 139
Step 2: Find the prime factorization of 1672
1672 = 2 x 2 x 2 x 11 x 19
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 1668 and 1672 is 4