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 2945, 2950 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2945 and 2950 is 5.
GCF(2945,2950) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2945
5 | 2945 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 2945 are 5,19,31. Prime factorization of 2945 in exponential form is:
2945 = 51×191×311
Prime Factorization of 2950
2 | 2950 |
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 2950 are 2,5,59. Prime factorization of 2950 in exponential form is:
2950 = 21×52×591
∴ So by taking common prime factors GCF of 2945 and 2950 is 5
Factors of 2945
List of positive integer factors of 2945 that divides 2945 without a remainder.
1,5,19,31,95,155,589,2945
Factors of 2950
List of positive integer factors of 2950 that divides 2950 without a remainder.
1,2,5,10,25,50,59,118,295,590,1475,2950
Greatest Common Factor
We found the factors and prime factorization of 2945 and 2950. The biggest common factor number is the GCF number.
So the greatest common factor 2945 and 2950 is 5.
Also check out the Least Common Multiple of 2945 and 2950
(i) The GCF of 2945 and 2950 is associative
GCF of 2945 and 2950 = GCF of 2950 and 2945
1. What is the GCF of 2945 and 2950?
Answer: GCF of 2945 and 2950 is 5.
2. What are the Factors of 2945?
Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.
3. What are the Factors of 2950?
Answer: Factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950. There are 12 integers that are factors of 2950. The greatest factor of 2950 is 2950.
4. How to Find the GCF of 2945 and 2950?
Answer:
Greatest Common Factor of 2945 and 2950 = 5
Step 1: Find the prime factorization of 2945
2945 = 5 x 19 x 31
Step 2: Find the prime factorization of 2950
2950 = 2 x 5 x 5 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2945 and 2950 is 5