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, 2137 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2134 and 2137 is 1.
GCF(2134,2137) = 1
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 2137
2137 | 2137 |
1 |
Prime factors of 2137 are 2137. Prime factorization of 2137 in exponential form is:
2137 = 21371
∴ So by taking common prime factors GCF of 2134 and 2137 is 1
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 2137
List of positive integer factors of 2137 that divides 2137 without a remainder.
1,2137
Greatest Common Factor
We found the factors and prime factorization of 2134 and 2137. The biggest common factor number is the GCF number.
So the greatest common factor 2134 and 2137 is 1.
Also check out the Least Common Multiple of 2134 and 2137
(i) The GCF of 2134 and 2137 is associative
GCF of 2134 and 2137 = GCF of 2137 and 2134
1. What is the GCF of 2134 and 2137?
Answer: GCF of 2134 and 2137 is 1.
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 2137?
Answer: Factors of 2137 are 1, 2137. There are 2 integers that are factors of 2137. The greatest factor of 2137 is 2137.
4. How to Find the GCF of 2134 and 2137?
Answer:
Greatest Common Factor of 2134 and 2137 = 1
Step 1: Find the prime factorization of 2134
2134 = 2 x 11 x 97
Step 2: Find the prime factorization of 2137
2137 = 2137
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 2134 and 2137 is 1