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 2152, 2158 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2152 and 2158 is 2.
GCF(2152,2158) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2152
2 | 2152 |
2 | 1076 |
2 | 538 |
269 | 269 |
1 |
Prime factors of 2152 are 2,269. Prime factorization of 2152 in exponential form is:
2152 = 23×2691
Prime Factorization of 2158
2 | 2158 |
13 | 1079 |
83 | 83 |
1 |
Prime factors of 2158 are 2,13,83. Prime factorization of 2158 in exponential form is:
2158 = 21×131×831
∴ So by taking common prime factors GCF of 2152 and 2158 is 2
Factors of 2152
List of positive integer factors of 2152 that divides 2152 without a remainder.
1,2,4,8,269,538,1076,2152
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors and prime factorization of 2152 and 2158. The biggest common factor number is the GCF number.
So the greatest common factor 2152 and 2158 is 2.
Also check out the Least Common Multiple of 2152 and 2158
(i) The GCF of 2152 and 2158 is associative
GCF of 2152 and 2158 = GCF of 2158 and 2152
1. What is the GCF of 2152 and 2158?
Answer: GCF of 2152 and 2158 is 2.
2. What are the Factors of 2152?
Answer: Factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152. There are 8 integers that are factors of 2152. The greatest factor of 2152 is 2152.
3. What are the Factors of 2158?
Answer: Factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158. There are 8 integers that are factors of 2158. The greatest factor of 2158 is 2158.
4. How to Find the GCF of 2152 and 2158?
Answer:
Greatest Common Factor of 2152 and 2158 = 2
Step 1: Find the prime factorization of 2152
2152 = 2 x 2 x 2 x 269
Step 2: Find the prime factorization of 2158
2158 = 2 x 13 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2152 and 2158 is 2