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 4902, 4908 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4902 and 4908 is 6.
GCF(4902,4908) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4902
2 | 4902 |
3 | 2451 |
19 | 817 |
43 | 43 |
1 |
Prime factors of 4902 are 2,3,19,43. Prime factorization of 4902 in exponential form is:
4902 = 21×31×191×431
Prime Factorization of 4908
2 | 4908 |
2 | 2454 |
3 | 1227 |
409 | 409 |
1 |
Prime factors of 4908 are 2,3,409. Prime factorization of 4908 in exponential form is:
4908 = 22×31×4091
∴ So by taking common prime factors GCF of 4902 and 4908 is 6
Factors of 4902
List of positive integer factors of 4902 that divides 4902 without a remainder.
1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Factors of 4908
List of positive integer factors of 4908 that divides 4908 without a remainder.
1,2,3,4,6,12,409,818,1227,1636,2454,4908
Greatest Common Factor
We found the factors and prime factorization of 4902 and 4908. The biggest common factor number is the GCF number.
So the greatest common factor 4902 and 4908 is 6.
Also check out the Least Common Multiple of 4902 and 4908
(i) The GCF of 4902 and 4908 is associative
GCF of 4902 and 4908 = GCF of 4908 and 4902
1. What is the GCF of 4902 and 4908?
Answer: GCF of 4902 and 4908 is 6.
2. What are the Factors of 4902?
Answer: Factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902. There are 16 integers that are factors of 4902. The greatest factor of 4902 is 4902.
3. What are the Factors of 4908?
Answer: Factors of 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908. There are 12 integers that are factors of 4908. The greatest factor of 4908 is 4908.
4. How to Find the GCF of 4902 and 4908?
Answer:
Greatest Common Factor of 4902 and 4908 = 6
Step 1: Find the prime factorization of 4902
4902 = 2 x 3 x 19 x 43
Step 2: Find the prime factorization of 4908
4908 = 2 x 2 x 3 x 409
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 4902 and 4908 is 6