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 3134, 3138 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3134 and 3138 is 2.
GCF(3134,3138) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3134
2 | 3134 |
1567 | 1567 |
1 |
Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:
3134 = 21×15671
Prime Factorization of 3138
2 | 3138 |
3 | 1569 |
523 | 523 |
1 |
Prime factors of 3138 are 2,3,523. Prime factorization of 3138 in exponential form is:
3138 = 21×31×5231
∴ So by taking common prime factors GCF of 3134 and 3138 is 2
Factors of 3134
List of positive integer factors of 3134 that divides 3134 without a remainder.
1,2,1567,3134
Factors of 3138
List of positive integer factors of 3138 that divides 3138 without a remainder.
1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors and prime factorization of 3134 and 3138. The biggest common factor number is the GCF number.
So the greatest common factor 3134 and 3138 is 2.
Also check out the Least Common Multiple of 3134 and 3138
(i) The GCF of 3134 and 3138 is associative
GCF of 3134 and 3138 = GCF of 3138 and 3134
1. What is the GCF of 3134 and 3138?
Answer: GCF of 3134 and 3138 is 2.
2. What are the Factors of 3134?
Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.
3. What are the Factors of 3138?
Answer: Factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138. There are 8 integers that are factors of 3138. The greatest factor of 3138 is 3138.
4. How to Find the GCF of 3134 and 3138?
Answer:
Greatest Common Factor of 3134 and 3138 = 2
Step 1: Find the prime factorization of 3134
3134 = 2 x 1567
Step 2: Find the prime factorization of 3138
3138 = 2 x 3 x 523
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 3134 and 3138 is 2