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, 60 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 25 and 60 is 5.
GCF(25,60) = 5
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 60
2 | 60 |
2 | 30 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 60 are 2.Prime factorization of 60 in exponential form is:
60 = 22×31×51
∴ So by taking common prime factors GCF of 25 and 60 is 5
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors and prime factorization of 25 and 60. The biggest common factor number is the GCF number.
So the greatest common factor 25 and 60 is 5.
Also check out the Least Common Multiple of 25 and 60
(i) The GCF of 25 and 60 is associative
GCF of 25 and 60 = GCF of 60 and 25
1. What is the GCF of 25 and 60?
Answer: GCF of 25 and 60 is 5.
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 60?
Answer: Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. There are 12 integers that are factors of 60. The greatest factor of 60 is 60.
4. How to Find the GCF of 25 and 60?
Answer:
Greatest Common Factor of 25 and 60 = 5
Step 1: Find the prime factorization of 25
25 = 5 x 5
Step 2: Find the prime factorization of 60
60 = 2 x 2 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 25 and 60 is 5