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 1629, 1636 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1629 and 1636 is 1.
GCF(1629,1636) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1629
3 | 1629 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 1629 are 3,181. Prime factorization of 1629 in exponential form is:
1629 = 32×1811
Prime Factorization of 1636
2 | 1636 |
2 | 818 |
409 | 409 |
1 |
Prime factors of 1636 are 2,409. Prime factorization of 1636 in exponential form is:
1636 = 22×4091
∴ So by taking common prime factors GCF of 1629 and 1636 is 1
Factors of 1629
List of positive integer factors of 1629 that divides 1629 without a remainder.
1,3,9,181,543,1629
Factors of 1636
List of positive integer factors of 1636 that divides 1636 without a remainder.
1,2,4,409,818,1636
Greatest Common Factor
We found the factors and prime factorization of 1629 and 1636. The biggest common factor number is the GCF number.
So the greatest common factor 1629 and 1636 is 1.
Also check out the Least Common Multiple of 1629 and 1636
(i) The GCF of 1629 and 1636 is associative
GCF of 1629 and 1636 = GCF of 1636 and 1629
1. What is the GCF of 1629 and 1636?
Answer: GCF of 1629 and 1636 is 1.
2. What are the Factors of 1629?
Answer: Factors of 1629 are 1, 3, 9, 181, 543, 1629. There are 6 integers that are factors of 1629. The greatest factor of 1629 is 1629.
3. What are the Factors of 1636?
Answer: Factors of 1636 are 1, 2, 4, 409, 818, 1636. There are 6 integers that are factors of 1636. The greatest factor of 1636 is 1636.
4. How to Find the GCF of 1629 and 1636?
Answer:
Greatest Common Factor of 1629 and 1636 = 1
Step 1: Find the prime factorization of 1629
1629 = 3 x 3 x 181
Step 2: Find the prime factorization of 1636
1636 = 2 x 2 x 409
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 1629 and 1636 is 1