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 6625, 6629 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6625 and 6629 is 1.
GCF(6625,6629) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6625
5 | 6625 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 6625 are 5,53. Prime factorization of 6625 in exponential form is:
6625 = 53×531
Prime Factorization of 6629
7 | 6629 |
947 | 947 |
1 |
Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:
6629 = 71×9471
∴ So by taking common prime factors GCF of 6625 and 6629 is 1
Factors of 6625
List of positive integer factors of 6625 that divides 6625 without a remainder.
1,5,25,53,125,265,1325,6625
Factors of 6629
List of positive integer factors of 6629 that divides 6629 without a remainder.
1,7,947,6629
Greatest Common Factor
We found the factors and prime factorization of 6625 and 6629. The biggest common factor number is the GCF number.
So the greatest common factor 6625 and 6629 is 1.
Also check out the Least Common Multiple of 6625 and 6629
(i) The GCF of 6625 and 6629 is associative
GCF of 6625 and 6629 = GCF of 6629 and 6625
1. What is the GCF of 6625 and 6629?
Answer: GCF of 6625 and 6629 is 1.
2. What are the Factors of 6625?
Answer: Factors of 6625 are 1, 5, 25, 53, 125, 265, 1325, 6625. There are 8 integers that are factors of 6625. The greatest factor of 6625 is 6625.
3. What are the Factors of 6629?
Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.
4. How to Find the GCF of 6625 and 6629?
Answer:
Greatest Common Factor of 6625 and 6629 = 1
Step 1: Find the prime factorization of 6625
6625 = 5 x 5 x 5 x 53
Step 2: Find the prime factorization of 6629
6629 = 7 x 947
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 6625 and 6629 is 1