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 2667, 2672 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2667 and 2672 is 1.
GCF(2667,2672) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2667
3 | 2667 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 2667 are 3,7,127. Prime factorization of 2667 in exponential form is:
2667 = 31×71×1271
Prime Factorization of 2672
2 | 2672 |
2 | 1336 |
2 | 668 |
2 | 334 |
167 | 167 |
1 |
Prime factors of 2672 are 2,167. Prime factorization of 2672 in exponential form is:
2672 = 24×1671
∴ So by taking common prime factors GCF of 2667 and 2672 is 1
Factors of 2667
List of positive integer factors of 2667 that divides 2667 without a remainder.
1,3,7,21,127,381,889,2667
Factors of 2672
List of positive integer factors of 2672 that divides 2672 without a remainder.
1,2,4,8,16,167,334,668,1336,2672
Greatest Common Factor
We found the factors and prime factorization of 2667 and 2672. The biggest common factor number is the GCF number.
So the greatest common factor 2667 and 2672 is 1.
Also check out the Least Common Multiple of 2667 and 2672
(i) The GCF of 2667 and 2672 is associative
GCF of 2667 and 2672 = GCF of 2672 and 2667
1. What is the GCF of 2667 and 2672?
Answer: GCF of 2667 and 2672 is 1.
2. What are the Factors of 2667?
Answer: Factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667. There are 8 integers that are factors of 2667. The greatest factor of 2667 is 2667.
3. What are the Factors of 2672?
Answer: Factors of 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672. There are 10 integers that are factors of 2672. The greatest factor of 2672 is 2672.
4. How to Find the GCF of 2667 and 2672?
Answer:
Greatest Common Factor of 2667 and 2672 = 1
Step 1: Find the prime factorization of 2667
2667 = 3 x 7 x 127
Step 2: Find the prime factorization of 2672
2672 = 2 x 2 x 2 x 2 x 167
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 2667 and 2672 is 1