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 5672, 5677 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5672 and 5677 is 1.
GCF(5672,5677) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5672
2 | 5672 |
2 | 2836 |
2 | 1418 |
709 | 709 |
1 |
Prime factors of 5672 are 2,709. Prime factorization of 5672 in exponential form is:
5672 = 23×7091
Prime Factorization of 5677
7 | 5677 |
811 | 811 |
1 |
Prime factors of 5677 are 7,811. Prime factorization of 5677 in exponential form is:
5677 = 71×8111
∴ So by taking common prime factors GCF of 5672 and 5677 is 1
Factors of 5672
List of positive integer factors of 5672 that divides 5672 without a remainder.
1,2,4,8,709,1418,2836,5672
Factors of 5677
List of positive integer factors of 5677 that divides 5677 without a remainder.
1,7,811,5677
Greatest Common Factor
We found the factors and prime factorization of 5672 and 5677. The biggest common factor number is the GCF number.
So the greatest common factor 5672 and 5677 is 1.
Also check out the Least Common Multiple of 5672 and 5677
(i) The GCF of 5672 and 5677 is associative
GCF of 5672 and 5677 = GCF of 5677 and 5672
1. What is the GCF of 5672 and 5677?
Answer: GCF of 5672 and 5677 is 1.
2. What are the Factors of 5672?
Answer: Factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672. There are 8 integers that are factors of 5672. The greatest factor of 5672 is 5672.
3. What are the Factors of 5677?
Answer: Factors of 5677 are 1, 7, 811, 5677. There are 4 integers that are factors of 5677. The greatest factor of 5677 is 5677.
4. How to Find the GCF of 5672 and 5677?
Answer:
Greatest Common Factor of 5672 and 5677 = 1
Step 1: Find the prime factorization of 5672
5672 = 2 x 2 x 2 x 709
Step 2: Find the prime factorization of 5677
5677 = 7 x 811
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 5672 and 5677 is 1