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 7657, 7664 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7657 and 7664 is 1.
GCF(7657,7664) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7657
13 | 7657 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 7657 are 13,19,31. Prime factorization of 7657 in exponential form is:
7657 = 131×191×311
Prime Factorization of 7664
2 | 7664 |
2 | 3832 |
2 | 1916 |
2 | 958 |
479 | 479 |
1 |
Prime factors of 7664 are 2,479. Prime factorization of 7664 in exponential form is:
7664 = 24×4791
∴ So by taking common prime factors GCF of 7657 and 7664 is 1
Factors of 7657
List of positive integer factors of 7657 that divides 7657 without a remainder.
1,13,19,31,247,403,589,7657
Factors of 7664
List of positive integer factors of 7664 that divides 7664 without a remainder.
1,2,4,8,16,479,958,1916,3832,7664
Greatest Common Factor
We found the factors and prime factorization of 7657 and 7664. The biggest common factor number is the GCF number.
So the greatest common factor 7657 and 7664 is 1.
Also check out the Least Common Multiple of 7657 and 7664
(i) The GCF of 7657 and 7664 is associative
GCF of 7657 and 7664 = GCF of 7664 and 7657
1. What is the GCF of 7657 and 7664?
Answer: GCF of 7657 and 7664 is 1.
2. What are the Factors of 7657?
Answer: Factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657. There are 8 integers that are factors of 7657. The greatest factor of 7657 is 7657.
3. What are the Factors of 7664?
Answer: Factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664. There are 10 integers that are factors of 7664. The greatest factor of 7664 is 7664.
4. How to Find the GCF of 7657 and 7664?
Answer:
Greatest Common Factor of 7657 and 7664 = 1
Step 1: Find the prime factorization of 7657
7657 = 13 x 19 x 31
Step 2: Find the prime factorization of 7664
7664 = 2 x 2 x 2 x 2 x 479
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 7657 and 7664 is 1