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 6924, 6925 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6924 and 6925 is 1.
GCF(6924,6925) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6924
2 | 6924 |
2 | 3462 |
3 | 1731 |
577 | 577 |
1 |
Prime factors of 6924 are 2,3,577. Prime factorization of 6924 in exponential form is:
6924 = 22×31×5771
Prime Factorization of 6925
5 | 6925 |
5 | 1385 |
277 | 277 |
1 |
Prime factors of 6925 are 5,277. Prime factorization of 6925 in exponential form is:
6925 = 52×2771
∴ So by taking common prime factors GCF of 6924 and 6925 is 1
Factors of 6924
List of positive integer factors of 6924 that divides 6924 without a remainder.
1,2,3,4,6,12,577,1154,1731,2308,3462,6924
Factors of 6925
List of positive integer factors of 6925 that divides 6925 without a remainder.
1,5,25,277,1385,6925
Greatest Common Factor
We found the factors and prime factorization of 6924 and 6925. The biggest common factor number is the GCF number.
So the greatest common factor 6924 and 6925 is 1.
Also check out the Least Common Multiple of 6924 and 6925
(i) The GCF of 6924 and 6925 is associative
GCF of 6924 and 6925 = GCF of 6925 and 6924
1. What is the GCF of 6924 and 6925?
Answer: GCF of 6924 and 6925 is 1.
2. What are the Factors of 6924?
Answer: Factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924. There are 12 integers that are factors of 6924. The greatest factor of 6924 is 6924.
3. What are the Factors of 6925?
Answer: Factors of 6925 are 1, 5, 25, 277, 1385, 6925. There are 6 integers that are factors of 6925. The greatest factor of 6925 is 6925.
4. How to Find the GCF of 6924 and 6925?
Answer:
Greatest Common Factor of 6924 and 6925 = 1
Step 1: Find the prime factorization of 6924
6924 = 2 x 2 x 3 x 577
Step 2: Find the prime factorization of 6925
6925 = 5 x 5 x 277
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 6924 and 6925 is 1