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 6132, 6134 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6132 and 6134 is 2.
GCF(6132,6134) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6132
2 | 6132 |
2 | 3066 |
3 | 1533 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 6132 are 2,3,7,73. Prime factorization of 6132 in exponential form is:
6132 = 22×31×71×731
Prime Factorization of 6134
2 | 6134 |
3067 | 3067 |
1 |
Prime factors of 6134 are 2,3067. Prime factorization of 6134 in exponential form is:
6134 = 21×30671
∴ So by taking common prime factors GCF of 6132 and 6134 is 2
Factors of 6132
List of positive integer factors of 6132 that divides 6132 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Factors of 6134
List of positive integer factors of 6134 that divides 6134 without a remainder.
1,2,3067,6134
Greatest Common Factor
We found the factors and prime factorization of 6132 and 6134. The biggest common factor number is the GCF number.
So the greatest common factor 6132 and 6134 is 2.
Also check out the Least Common Multiple of 6132 and 6134
(i) The GCF of 6132 and 6134 is associative
GCF of 6132 and 6134 = GCF of 6134 and 6132
1. What is the GCF of 6132 and 6134?
Answer: GCF of 6132 and 6134 is 2.
2. What are the Factors of 6132?
Answer: Factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132. There are 24 integers that are factors of 6132. The greatest factor of 6132 is 6132.
3. What are the Factors of 6134?
Answer: Factors of 6134 are 1, 2, 3067, 6134. There are 4 integers that are factors of 6134. The greatest factor of 6134 is 6134.
4. How to Find the GCF of 6132 and 6134?
Answer:
Greatest Common Factor of 6132 and 6134 = 2
Step 1: Find the prime factorization of 6132
6132 = 2 x 2 x 3 x 7 x 73
Step 2: Find the prime factorization of 6134
6134 = 2 x 3067
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 6132 and 6134 is 2