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 5671, 5672 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5671 and 5672 is 1.
GCF(5671,5672) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5671
53 | 5671 |
107 | 107 |
1 |
Prime factors of 5671 are 53,107. Prime factorization of 5671 in exponential form is:
5671 = 531×1071
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
∴ So by taking common prime factors GCF of 5671 and 5672 is 1
Factors of 5671
List of positive integer factors of 5671 that divides 5671 without a remainder.
1,53,107,5671
Factors of 5672
List of positive integer factors of 5672 that divides 5672 without a remainder.
1,2,4,8,709,1418,2836,5672
Greatest Common Factor
We found the factors and prime factorization of 5671 and 5672. The biggest common factor number is the GCF number.
So the greatest common factor 5671 and 5672 is 1.
Also check out the Least Common Multiple of 5671 and 5672
(i) The GCF of 5671 and 5672 is associative
GCF of 5671 and 5672 = GCF of 5672 and 5671
1. What is the GCF of 5671 and 5672?
Answer: GCF of 5671 and 5672 is 1.
2. What are the Factors of 5671?
Answer: Factors of 5671 are 1, 53, 107, 5671. There are 4 integers that are factors of 5671. The greatest factor of 5671 is 5671.
3. 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.
4. How to Find the GCF of 5671 and 5672?
Answer:
Greatest Common Factor of 5671 and 5672 = 1
Step 1: Find the prime factorization of 5671
5671 = 53 x 107
Step 2: Find the prime factorization of 5672
5672 = 2 x 2 x 2 x 709
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 5671 and 5672 is 1