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 7651, 7657 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7651 and 7657 is 1.
GCF(7651,7657) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7651
7 | 7651 |
1093 | 1093 |
1 |
Prime factors of 7651 are 7,1093. Prime factorization of 7651 in exponential form is:
7651 = 71×10931
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
∴ So by taking common prime factors GCF of 7651 and 7657 is 1
Factors of 7651
List of positive integer factors of 7651 that divides 7651 without a remainder.
1,7,1093,7651
Factors of 7657
List of positive integer factors of 7657 that divides 7657 without a remainder.
1,13,19,31,247,403,589,7657
Greatest Common Factor
We found the factors and prime factorization of 7651 and 7657. The biggest common factor number is the GCF number.
So the greatest common factor 7651 and 7657 is 1.
Also check out the Least Common Multiple of 7651 and 7657
(i) The GCF of 7651 and 7657 is associative
GCF of 7651 and 7657 = GCF of 7657 and 7651
1. What is the GCF of 7651 and 7657?
Answer: GCF of 7651 and 7657 is 1.
2. What are the Factors of 7651?
Answer: Factors of 7651 are 1, 7, 1093, 7651. There are 4 integers that are factors of 7651. The greatest factor of 7651 is 7651.
3. 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.
4. How to Find the GCF of 7651 and 7657?
Answer:
Greatest Common Factor of 7651 and 7657 = 1
Step 1: Find the prime factorization of 7651
7651 = 7 x 1093
Step 2: Find the prime factorization of 7657
7657 = 13 x 19 x 31
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 7651 and 7657 is 1