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 2148, 2156 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2148 and 2156 is 4.
GCF(2148,2156) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2148
2 | 2148 |
2 | 1074 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 2148 are 2,3,179. Prime factorization of 2148 in exponential form is:
2148 = 22×31×1791
Prime Factorization of 2156
2 | 2156 |
2 | 1078 |
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 2156 are 2,7,11. Prime factorization of 2156 in exponential form is:
2156 = 22×72×111
∴ So by taking common prime factors GCF of 2148 and 2156 is 4
Factors of 2148
List of positive integer factors of 2148 that divides 2148 without a remainder.
1,2,3,4,6,12,179,358,537,716,1074,2148
Factors of 2156
List of positive integer factors of 2156 that divides 2156 without a remainder.
1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors and prime factorization of 2148 and 2156. The biggest common factor number is the GCF number.
So the greatest common factor 2148 and 2156 is 4.
Also check out the Least Common Multiple of 2148 and 2156
(i) The GCF of 2148 and 2156 is associative
GCF of 2148 and 2156 = GCF of 2156 and 2148
1. What is the GCF of 2148 and 2156?
Answer: GCF of 2148 and 2156 is 4.
2. What are the Factors of 2148?
Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.
3. What are the Factors of 2156?
Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.
4. How to Find the GCF of 2148 and 2156?
Answer:
Greatest Common Factor of 2148 and 2156 = 4
Step 1: Find the prime factorization of 2148
2148 = 2 x 2 x 3 x 179
Step 2: Find the prime factorization of 2156
2156 = 2 x 2 x 7 x 7 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2148 and 2156 is 4