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 4950, 4952 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4950 and 4952 is 2.
GCF(4950,4952) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4950
2 | 4950 |
3 | 2475 |
3 | 825 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 4950 are 2,3,5,11. Prime factorization of 4950 in exponential form is:
4950 = 21×32×52×111
Prime Factorization of 4952
2 | 4952 |
2 | 2476 |
2 | 1238 |
619 | 619 |
1 |
Prime factors of 4952 are 2,619. Prime factorization of 4952 in exponential form is:
4952 = 23×6191
∴ So by taking common prime factors GCF of 4950 and 4952 is 2
Factors of 4950
List of positive integer factors of 4950 that divides 4950 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950
Factors of 4952
List of positive integer factors of 4952 that divides 4952 without a remainder.
1,2,4,8,619,1238,2476,4952
Greatest Common Factor
We found the factors and prime factorization of 4950 and 4952. The biggest common factor number is the GCF number.
So the greatest common factor 4950 and 4952 is 2.
Also check out the Least Common Multiple of 4950 and 4952
(i) The GCF of 4950 and 4952 is associative
GCF of 4950 and 4952 = GCF of 4952 and 4950
1. What is the GCF of 4950 and 4952?
Answer: GCF of 4950 and 4952 is 2.
2. What are the Factors of 4950?
Answer: Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950. There are 36 integers that are factors of 4950. The greatest factor of 4950 is 4950.
3. What are the Factors of 4952?
Answer: Factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952. There are 8 integers that are factors of 4952. The greatest factor of 4952 is 4952.
4. How to Find the GCF of 4950 and 4952?
Answer:
Greatest Common Factor of 4950 and 4952 = 2
Step 1: Find the prime factorization of 4950
4950 = 2 x 3 x 3 x 5 x 5 x 11
Step 2: Find the prime factorization of 4952
4952 = 2 x 2 x 2 x 619
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 4950 and 4952 is 2