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, 7661 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7657 and 7661 is 1.
GCF(7657,7661) = 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 7661
47 | 7661 |
163 | 163 |
1 |
Prime factors of 7661 are 47,163. Prime factorization of 7661 in exponential form is:
7661 = 471×1631
∴ So by taking common prime factors GCF of 7657 and 7661 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 7661
List of positive integer factors of 7661 that divides 7661 without a remainder.
1,47,163,7661
Greatest Common Factor
We found the factors and prime factorization of 7657 and 7661. The biggest common factor number is the GCF number.
So the greatest common factor 7657 and 7661 is 1.
Also check out the Least Common Multiple of 7657 and 7661
(i) The GCF of 7657 and 7661 is associative
GCF of 7657 and 7661 = GCF of 7661 and 7657
1. What is the GCF of 7657 and 7661?
Answer: GCF of 7657 and 7661 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 7661?
Answer: Factors of 7661 are 1, 47, 163, 7661. There are 4 integers that are factors of 7661. The greatest factor of 7661 is 7661.
4. How to Find the GCF of 7657 and 7661?
Answer:
Greatest Common Factor of 7657 and 7661 = 1
Step 1: Find the prime factorization of 7657
7657 = 13 x 19 x 31
Step 2: Find the prime factorization of 7661
7661 = 47 x 163
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 7661 is 1