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 5925, 5932 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5925 and 5932 is 1.
GCF(5925,5932) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5925
3 | 5925 |
5 | 1975 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 5925 are 3,5,79. Prime factorization of 5925 in exponential form is:
5925 = 31×52×791
Prime Factorization of 5932
2 | 5932 |
2 | 2966 |
1483 | 1483 |
1 |
Prime factors of 5932 are 2,1483. Prime factorization of 5932 in exponential form is:
5932 = 22×14831
∴ So by taking common prime factors GCF of 5925 and 5932 is 1
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1,3,5,15,25,75,79,237,395,1185,1975,5925
Factors of 5932
List of positive integer factors of 5932 that divides 5932 without a remainder.
1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors and prime factorization of 5925 and 5932. The biggest common factor number is the GCF number.
So the greatest common factor 5925 and 5932 is 1.
Also check out the Least Common Multiple of 5925 and 5932
(i) The GCF of 5925 and 5932 is associative
GCF of 5925 and 5932 = GCF of 5932 and 5925
1. What is the GCF of 5925 and 5932?
Answer: GCF of 5925 and 5932 is 1.
2. What are the Factors of 5925?
Answer: Factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925. There are 12 integers that are factors of 5925. The greatest factor of 5925 is 5925.
3. What are the Factors of 5932?
Answer: Factors of 5932 are 1, 2, 4, 1483, 2966, 5932. There are 6 integers that are factors of 5932. The greatest factor of 5932 is 5932.
4. How to Find the GCF of 5925 and 5932?
Answer:
Greatest Common Factor of 5925 and 5932 = 1
Step 1: Find the prime factorization of 5925
5925 = 3 x 5 x 5 x 79
Step 2: Find the prime factorization of 5932
5932 = 2 x 2 x 1483
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 5925 and 5932 is 1