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 25, 41 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 25 and 41 is 1.
GCF(25,41) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 41
41 | 41 |
1 |
Prime factors of 41 are 41.Prime factorization of 41 in exponential form is:
41 = 411
∴ So by taking common prime factors GCF of 25 and 41 is 1
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Greatest Common Factor
We found the factors and prime factorization of 25 and 41. The biggest common factor number is the GCF number.
So the greatest common factor 25 and 41 is 1.
Also check out the Least Common Multiple of 25 and 41
(i) The GCF of 25 and 41 is associative
GCF of 25 and 41 = GCF of 41 and 25
1. What is the GCF of 25 and 41?
Answer: GCF of 25 and 41 is 1.
2. 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.
3. What are the Factors of 41?
Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.
4. How to Find the GCF of 25 and 41?
Answer:
Greatest Common Factor of 25 and 41 = 1
Step 1: Find the prime factorization of 25
25 = 5 x 5
Step 2: Find the prime factorization of 41
41 = 41
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 25 and 41 is 1