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 8, 25 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8 and 25 is 1.
GCF(8,25) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8
2 | 8 |
2 | 4 |
2 | 2 |
1 |
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:
8 = 23
Prime Factorization of 25
5 | 25 |
5 | 5 |
1 |
Prime factors of 25 are 5.Prime factorization of 25 in exponential form is:
25 = 52
∴ So by taking common prime factors GCF of 8 and 25 is 1
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors and prime factorization of 8 and 25. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 25 is 1.
Also check out the Least Common Multiple of 8 and 25
(i) The GCF of 8 and 25 is associative
GCF of 8 and 25 = GCF of 25 and 8
1. What is the GCF of 8 and 25?
Answer: GCF of 8 and 25 is 1.
2. What are the Factors of 8?
Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.
3. What are the Factors of 25?
Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.
4. How to Find the GCF of 8 and 25?
Answer:
Greatest Common Factor of 8 and 25 = 1
Step 1: Find the prime factorization of 8
8 = 2 x 2 x 2
Step 2: Find the prime factorization of 25
25 = 5 x 5
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 8 and 25 is 1