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 1670, 1677 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1670 and 1677 is 1.
GCF(1670,1677) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1670
2 | 1670 |
5 | 835 |
167 | 167 |
1 |
Prime factors of 1670 are 2,5,167. Prime factorization of 1670 in exponential form is:
1670 = 21×51×1671
Prime Factorization of 1677
3 | 1677 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 1677 are 3,13,43. Prime factorization of 1677 in exponential form is:
1677 = 31×131×431
∴ So by taking common prime factors GCF of 1670 and 1677 is 1
Factors of 1670
List of positive integer factors of 1670 that divides 1670 without a remainder.
1,2,5,10,167,334,835,1670
Factors of 1677
List of positive integer factors of 1677 that divides 1677 without a remainder.
1,3,13,39,43,129,559,1677
Greatest Common Factor
We found the factors and prime factorization of 1670 and 1677. The biggest common factor number is the GCF number.
So the greatest common factor 1670 and 1677 is 1.
Also check out the Least Common Multiple of 1670 and 1677
(i) The GCF of 1670 and 1677 is associative
GCF of 1670 and 1677 = GCF of 1677 and 1670
1. What is the GCF of 1670 and 1677?
Answer: GCF of 1670 and 1677 is 1.
2. What are the Factors of 1670?
Answer: Factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670. There are 8 integers that are factors of 1670. The greatest factor of 1670 is 1670.
3. What are the Factors of 1677?
Answer: Factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677. There are 8 integers that are factors of 1677. The greatest factor of 1677 is 1677.
4. How to Find the GCF of 1670 and 1677?
Answer:
Greatest Common Factor of 1670 and 1677 = 1
Step 1: Find the prime factorization of 1670
1670 = 2 x 5 x 167
Step 2: Find the prime factorization of 1677
1677 = 3 x 13 x 43
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 1670 and 1677 is 1