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 57, 60 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 57 and 60 is 3.
GCF(57,60) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 57
3 | 57 |
19 | 19 |
1 |
Prime factors of 57 are 3,19. Prime factorization of 57 in exponential form is:
57 = 31×191
Prime Factorization of 60
2 | 60 |
2 | 30 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 60 are 2,3,5. Prime factorization of 60 in exponential form is:
60 = 22×31×51
∴ So by taking common prime factors GCF of 57 and 60 is 3
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
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 57 and 60. The biggest common factor number is the GCF number.
So the greatest common factor 57 and 60 is 3.
Also check out the Least Common Multiple of 57 and 60
(i) The GCF of 57 and 60 is associative
GCF of 57 and 60 = GCF of 60 and 57
1. What is the GCF of 57 and 60?
Answer: GCF of 57 and 60 is 3.
2. What are the Factors of 57?
Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.
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 57 and 60?
Answer:
Greatest Common Factor of 57 and 60 = 3
Step 1: Find the prime factorization of 57
57 = 3 x 19
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 = 3
Step 4: Therefore, the greatest common factor of 57 and 60 is 3