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 4910, 4917 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4910 and 4917 is 1.
GCF(4910,4917) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4910
2 | 4910 |
5 | 2455 |
491 | 491 |
1 |
Prime factors of 4910 are 2,5,491. Prime factorization of 4910 in exponential form is:
4910 = 21×51×4911
Prime Factorization of 4917
3 | 4917 |
11 | 1639 |
149 | 149 |
1 |
Prime factors of 4917 are 3,11,149. Prime factorization of 4917 in exponential form is:
4917 = 31×111×1491
∴ So by taking common prime factors GCF of 4910 and 4917 is 1
Factors of 4910
List of positive integer factors of 4910 that divides 4910 without a remainder.
1,2,5,10,491,982,2455,4910
Factors of 4917
List of positive integer factors of 4917 that divides 4917 without a remainder.
1,3,11,33,149,447,1639,4917
Greatest Common Factor
We found the factors and prime factorization of 4910 and 4917. The biggest common factor number is the GCF number.
So the greatest common factor 4910 and 4917 is 1.
Also check out the Least Common Multiple of 4910 and 4917
(i) The GCF of 4910 and 4917 is associative
GCF of 4910 and 4917 = GCF of 4917 and 4910
1. What is the GCF of 4910 and 4917?
Answer: GCF of 4910 and 4917 is 1.
2. What are the Factors of 4910?
Answer: Factors of 4910 are 1, 2, 5, 10, 491, 982, 2455, 4910. There are 8 integers that are factors of 4910. The greatest factor of 4910 is 4910.
3. What are the Factors of 4917?
Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.
4. How to Find the GCF of 4910 and 4917?
Answer:
Greatest Common Factor of 4910 and 4917 = 1
Step 1: Find the prime factorization of 4910
4910 = 2 x 5 x 491
Step 2: Find the prime factorization of 4917
4917 = 3 x 11 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4910 and 4917 is 1