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 4948, 4950 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4948 and 4950 is 2.
GCF(4948,4950) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4948
2 | 4948 |
2 | 2474 |
1237 | 1237 |
1 |
Prime factors of 4948 are 2,1237. Prime factorization of 4948 in exponential form is:
4948 = 22×12371
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
∴ So by taking common prime factors GCF of 4948 and 4950 is 2
Factors of 4948
List of positive integer factors of 4948 that divides 4948 without a remainder.
1,2,4,1237,2474,4948
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
Greatest Common Factor
We found the factors and prime factorization of 4948 and 4950. The biggest common factor number is the GCF number.
So the greatest common factor 4948 and 4950 is 2.
Also check out the Least Common Multiple of 4948 and 4950
(i) The GCF of 4948 and 4950 is associative
GCF of 4948 and 4950 = GCF of 4950 and 4948
1. What is the GCF of 4948 and 4950?
Answer: GCF of 4948 and 4950 is 2.
2. What are the Factors of 4948?
Answer: Factors of 4948 are 1, 2, 4, 1237, 2474, 4948. There are 6 integers that are factors of 4948. The greatest factor of 4948 is 4948.
3. 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.
4. How to Find the GCF of 4948 and 4950?
Answer:
Greatest Common Factor of 4948 and 4950 = 2
Step 1: Find the prime factorization of 4948
4948 = 2 x 2 x 1237
Step 2: Find the prime factorization of 4950
4950 = 2 x 3 x 3 x 5 x 5 x 11
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 4948 and 4950 is 2