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 671, 676 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 671 and 676 is 1.
GCF(671,676) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 671
11 | 671 |
61 | 61 |
1 |
Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:
671 = 111×611
Prime Factorization of 676
2 | 676 |
2 | 338 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:
676 = 22×132
∴ So by taking common prime factors GCF of 671 and 676 is 1
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors and prime factorization of 671 and 676. The biggest common factor number is the GCF number.
So the greatest common factor 671 and 676 is 1.
Also check out the Least Common Multiple of 671 and 676
(i) The GCF of 671 and 676 is associative
GCF of 671 and 676 = GCF of 676 and 671
1. What is the GCF of 671 and 676?
Answer: GCF of 671 and 676 is 1.
2. What are the Factors of 671?
Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.
3. What are the Factors of 676?
Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.
4. How to Find the GCF of 671 and 676?
Answer:
Greatest Common Factor of 671 and 676 = 1
Step 1: Find the prime factorization of 671
671 = 11 x 61
Step 2: Find the prime factorization of 676
676 = 2 x 2 x 13 x 13
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 671 and 676 is 1