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 6472, 6475 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6472 and 6475 is 1.
GCF(6472,6475) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6472
2 | 6472 |
2 | 3236 |
2 | 1618 |
809 | 809 |
1 |
Prime factors of 6472 are 2,809. Prime factorization of 6472 in exponential form is:
6472 = 23×8091
Prime Factorization of 6475
5 | 6475 |
5 | 1295 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 6475 are 5,7,37. Prime factorization of 6475 in exponential form is:
6475 = 52×71×371
∴ So by taking common prime factors GCF of 6472 and 6475 is 1
Factors of 6472
List of positive integer factors of 6472 that divides 6472 without a remainder.
1,2,4,8,809,1618,3236,6472
Factors of 6475
List of positive integer factors of 6475 that divides 6475 without a remainder.
1,5,7,25,35,37,175,185,259,925,1295,6475
Greatest Common Factor
We found the factors and prime factorization of 6472 and 6475. The biggest common factor number is the GCF number.
So the greatest common factor 6472 and 6475 is 1.
Also check out the Least Common Multiple of 6472 and 6475
(i) The GCF of 6472 and 6475 is associative
GCF of 6472 and 6475 = GCF of 6475 and 6472
1. What is the GCF of 6472 and 6475?
Answer: GCF of 6472 and 6475 is 1.
2. What are the Factors of 6472?
Answer: Factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472. There are 8 integers that are factors of 6472. The greatest factor of 6472 is 6472.
3. What are the Factors of 6475?
Answer: Factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475. There are 12 integers that are factors of 6475. The greatest factor of 6475 is 6475.
4. How to Find the GCF of 6472 and 6475?
Answer:
Greatest Common Factor of 6472 and 6475 = 1
Step 1: Find the prime factorization of 6472
6472 = 2 x 2 x 2 x 809
Step 2: Find the prime factorization of 6475
6475 = 5 x 5 x 7 x 37
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 6472 and 6475 is 1