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 1621, 1625 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1621 and 1625 is 1.
GCF(1621,1625) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1621
1621 | 1621 |
1 |
Prime factors of 1621 are 1621. Prime factorization of 1621 in exponential form is:
1621 = 16211
Prime Factorization of 1625
5 | 1625 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 1625 are 5.Prime factorization of 1625 in exponential form is:
1625 = 53×131
∴ So by taking common prime factors GCF of 1621 and 1625 is 1
Factors of 1621
List of positive integer factors of 1621 that divides 1621 without a remainder.
1,1621
Factors of 1625
List of positive integer factors of 1625 that divides 1625 without a remainder.
1,5,13,25,65,125,325,1625
Greatest Common Factor
We found the factors and prime factorization of 1621 and 1625. The biggest common factor number is the GCF number.
So the greatest common factor 1621 and 1625 is 1.
Also check out the Least Common Multiple of 1621 and 1625
(i) The GCF of 1621 and 1625 is associative
GCF of 1621 and 1625 = GCF of 1625 and 1621
1. What is the GCF of 1621 and 1625?
Answer: GCF of 1621 and 1625 is 1.
2. What are the Factors of 1621?
Answer: Factors of 1621 are 1, 1621. There are 2 integers that are factors of 1621. The greatest factor of 1621 is 1621.
3. 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.
4. How to Find the GCF of 1621 and 1625?
Answer:
Greatest Common Factor of 1621 and 1625 = 1
Step 1: Find the prime factorization of 1621
1621 = 1621
Step 2: Find the prime factorization of 1625
1625 = 5 x 5 x 5 x 13
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 1621 and 1625 is 1