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 7921, 7925 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7921 and 7925 is 1.
GCF(7921,7925) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7921
89 | 7921 |
89 | 89 |
1 |
Prime factors of 7921 are 89. Prime factorization of 7921 in exponential form is:
7921 = 892
Prime Factorization of 7925
5 | 7925 |
5 | 1585 |
317 | 317 |
1 |
Prime factors of 7925 are 5.Prime factorization of 7925 in exponential form is:
7925 = 52×3171
∴ So by taking common prime factors GCF of 7921 and 7925 is 1
Factors of 7921
List of positive integer factors of 7921 that divides 7921 without a remainder.
1,89,7921
Factors of 7925
List of positive integer factors of 7925 that divides 7925 without a remainder.
1,5,25,317,1585,7925
Greatest Common Factor
We found the factors and prime factorization of 7921 and 7925. The biggest common factor number is the GCF number.
So the greatest common factor 7921 and 7925 is 1.
Also check out the Least Common Multiple of 7921 and 7925
(i) The GCF of 7921 and 7925 is associative
GCF of 7921 and 7925 = GCF of 7925 and 7921
1. What is the GCF of 7921 and 7925?
Answer: GCF of 7921 and 7925 is 1.
2. What are the Factors of 7921?
Answer: Factors of 7921 are 1, 89, 7921. There are 3 integers that are factors of 7921. The greatest factor of 7921 is 7921.
3. What are the Factors of 7925?
Answer: Factors of 7925 are 1, 5, 25, 317, 1585, 7925. There are 6 integers that are factors of 7925. The greatest factor of 7925 is 7925.
4. How to Find the GCF of 7921 and 7925?
Answer:
Greatest Common Factor of 7921 and 7925 = 1
Step 1: Find the prime factorization of 7921
7921 = 89 x 89
Step 2: Find the prime factorization of 7925
7925 = 5 x 5 x 317
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 7921 and 7925 is 1