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 1625, 1633 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1625 and 1633 is 1.
GCF(1625,1633) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1625
5 | 1625 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 1625 are 5,13. Prime factorization of 1625 in exponential form is:
1625 = 53×131
Prime Factorization of 1633
23 | 1633 |
71 | 71 |
1 |
Prime factors of 1633 are 23,71. Prime factorization of 1633 in exponential form is:
1633 = 231×711
∴ So by taking common prime factors GCF of 1625 and 1633 is 1
Factors of 1625
List of positive integer factors of 1625 that divides 1625 without a remainder.
1,5,13,25,65,125,325,1625
Factors of 1633
List of positive integer factors of 1633 that divides 1633 without a remainder.
1,23,71,1633
Greatest Common Factor
We found the factors and prime factorization of 1625 and 1633. The biggest common factor number is the GCF number.
So the greatest common factor 1625 and 1633 is 1.
Also check out the Least Common Multiple of 1625 and 1633
(i) The GCF of 1625 and 1633 is associative
GCF of 1625 and 1633 = GCF of 1633 and 1625
1. What is the GCF of 1625 and 1633?
Answer: GCF of 1625 and 1633 is 1.
2. What are the Factors of 1625?
Answer: Factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625. There are 8 integers that are factors of 1625. The greatest factor of 1625 is 1625.
3. What are the Factors of 1633?
Answer: Factors of 1633 are 1, 23, 71, 1633. There are 4 integers that are factors of 1633. The greatest factor of 1633 is 1633.
4. How to Find the GCF of 1625 and 1633?
Answer:
Greatest Common Factor of 1625 and 1633 = 1
Step 1: Find the prime factorization of 1625
1625 = 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 1633
1633 = 23 x 71
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 1625 and 1633 is 1