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 2134, 2138 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2134 and 2138 is 2.
GCF(2134,2138) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2134
2 | 2134 |
11 | 1067 |
97 | 97 |
1 |
Prime factors of 2134 are 2,11,97. Prime factorization of 2134 in exponential form is:
2134 = 21×111×971
Prime Factorization of 2138
2 | 2138 |
1069 | 1069 |
1 |
Prime factors of 2138 are 2,1069. Prime factorization of 2138 in exponential form is:
2138 = 21×10691
∴ So by taking common prime factors GCF of 2134 and 2138 is 2
Factors of 2134
List of positive integer factors of 2134 that divides 2134 without a remainder.
1,2,11,22,97,194,1067,2134
Factors of 2138
List of positive integer factors of 2138 that divides 2138 without a remainder.
1,2,1069,2138
Greatest Common Factor
We found the factors and prime factorization of 2134 and 2138. The biggest common factor number is the GCF number.
So the greatest common factor 2134 and 2138 is 2.
Also check out the Least Common Multiple of 2134 and 2138
(i) The GCF of 2134 and 2138 is associative
GCF of 2134 and 2138 = GCF of 2138 and 2134
1. What is the GCF of 2134 and 2138?
Answer: GCF of 2134 and 2138 is 2.
2. What are the Factors of 2134?
Answer: Factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134. There are 8 integers that are factors of 2134. The greatest factor of 2134 is 2134.
3. What are the Factors of 2138?
Answer: Factors of 2138 are 1, 2, 1069, 2138. There are 4 integers that are factors of 2138. The greatest factor of 2138 is 2138.
4. How to Find the GCF of 2134 and 2138?
Answer:
Greatest Common Factor of 2134 and 2138 = 2
Step 1: Find the prime factorization of 2134
2134 = 2 x 11 x 97
Step 2: Find the prime factorization of 2138
2138 = 2 x 1069
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 2134 and 2138 is 2