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 2151, 2159 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2151 and 2159 is 1.
GCF(2151,2159) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2151
3 | 2151 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 2151 are 3,239. Prime factorization of 2151 in exponential form is:
2151 = 32×2391
Prime Factorization of 2159
17 | 2159 |
127 | 127 |
1 |
Prime factors of 2159 are 17,127. Prime factorization of 2159 in exponential form is:
2159 = 171×1271
∴ So by taking common prime factors GCF of 2151 and 2159 is 1
Factors of 2151
List of positive integer factors of 2151 that divides 2151 without a remainder.
1,3,9,239,717,2151
Factors of 2159
List of positive integer factors of 2159 that divides 2159 without a remainder.
1,17,127,2159
Greatest Common Factor
We found the factors and prime factorization of 2151 and 2159. The biggest common factor number is the GCF number.
So the greatest common factor 2151 and 2159 is 1.
Also check out the Least Common Multiple of 2151 and 2159
(i) The GCF of 2151 and 2159 is associative
GCF of 2151 and 2159 = GCF of 2159 and 2151
1. What is the GCF of 2151 and 2159?
Answer: GCF of 2151 and 2159 is 1.
2. What are the Factors of 2151?
Answer: Factors of 2151 are 1, 3, 9, 239, 717, 2151. There are 6 integers that are factors of 2151. The greatest factor of 2151 is 2151.
3. What are the Factors of 2159?
Answer: Factors of 2159 are 1, 17, 127, 2159. There are 4 integers that are factors of 2159. The greatest factor of 2159 is 2159.
4. How to Find the GCF of 2151 and 2159?
Answer:
Greatest Common Factor of 2151 and 2159 = 1
Step 1: Find the prime factorization of 2151
2151 = 3 x 3 x 239
Step 2: Find the prime factorization of 2159
2159 = 17 x 127
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 2151 and 2159 is 1