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 2425, 2432 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2425 and 2432 is 1.
GCF(2425,2432) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2425
5 | 2425 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:
2425 = 52×971
Prime Factorization of 2432
2 | 2432 |
2 | 1216 |
2 | 608 |
2 | 304 |
2 | 152 |
2 | 76 |
2 | 38 |
19 | 19 |
1 |
Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:
2432 = 27×191
∴ So by taking common prime factors GCF of 2425 and 2432 is 1
Factors of 2425
List of positive integer factors of 2425 that divides 2425 without a remainder.
1,5,25,97,485,2425
Factors of 2432
List of positive integer factors of 2432 that divides 2432 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Greatest Common Factor
We found the factors and prime factorization of 2425 and 2432. The biggest common factor number is the GCF number.
So the greatest common factor 2425 and 2432 is 1.
Also check out the Least Common Multiple of 2425 and 2432
(i) The GCF of 2425 and 2432 is associative
GCF of 2425 and 2432 = GCF of 2432 and 2425
1. What is the GCF of 2425 and 2432?
Answer: GCF of 2425 and 2432 is 1.
2. What are the Factors of 2425?
Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.
3. What are the Factors of 2432?
Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.
4. How to Find the GCF of 2425 and 2432?
Answer:
Greatest Common Factor of 2425 and 2432 = 1
Step 1: Find the prime factorization of 2425
2425 = 5 x 5 x 97
Step 2: Find the prime factorization of 2432
2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19
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 2425 and 2432 is 1