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 3150, 3154 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3150 and 3154 is 2.
GCF(3150,3154) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3150
2 | 3150 |
3 | 1575 |
3 | 525 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 3150 are 2,3,5,7. Prime factorization of 3150 in exponential form is:
3150 = 21×32×52×71
Prime Factorization of 3154
2 | 3154 |
19 | 1577 |
83 | 83 |
1 |
Prime factors of 3154 are 2,19,83. Prime factorization of 3154 in exponential form is:
3154 = 21×191×831
∴ So by taking common prime factors GCF of 3150 and 3154 is 2
Factors of 3150
List of positive integer factors of 3150 that divides 3150 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Factors of 3154
List of positive integer factors of 3154 that divides 3154 without a remainder.
1,2,19,38,83,166,1577,3154
Greatest Common Factor
We found the factors and prime factorization of 3150 and 3154. The biggest common factor number is the GCF number.
So the greatest common factor 3150 and 3154 is 2.
Also check out the Least Common Multiple of 3150 and 3154
(i) The GCF of 3150 and 3154 is associative
GCF of 3150 and 3154 = GCF of 3154 and 3150
1. What is the GCF of 3150 and 3154?
Answer: GCF of 3150 and 3154 is 2.
2. What are the Factors of 3150?
Answer: Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. There are 36 integers that are factors of 3150. The greatest factor of 3150 is 3150.
3. What are the Factors of 3154?
Answer: Factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154. There are 8 integers that are factors of 3154. The greatest factor of 3154 is 3154.
4. How to Find the GCF of 3150 and 3154?
Answer:
Greatest Common Factor of 3150 and 3154 = 2
Step 1: Find the prime factorization of 3150
3150 = 2 x 3 x 3 x 5 x 5 x 7
Step 2: Find the prime factorization of 3154
3154 = 2 x 19 x 83
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 3150 and 3154 is 2