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 4946, 4953 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4946 and 4953 is 1.
GCF(4946,4953) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4946
2 | 4946 |
2473 | 2473 |
1 |
Prime factors of 4946 are 2,2473. Prime factorization of 4946 in exponential form is:
4946 = 21×24731
Prime Factorization of 4953
3 | 4953 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 4953 are 3,13,127. Prime factorization of 4953 in exponential form is:
4953 = 31×131×1271
∴ So by taking common prime factors GCF of 4946 and 4953 is 1
Factors of 4946
List of positive integer factors of 4946 that divides 4946 without a remainder.
1,2,2473,4946
Factors of 4953
List of positive integer factors of 4953 that divides 4953 without a remainder.
1,3,13,39,127,381,1651,4953
Greatest Common Factor
We found the factors and prime factorization of 4946 and 4953. The biggest common factor number is the GCF number.
So the greatest common factor 4946 and 4953 is 1.
Also check out the Least Common Multiple of 4946 and 4953
(i) The GCF of 4946 and 4953 is associative
GCF of 4946 and 4953 = GCF of 4953 and 4946
1. What is the GCF of 4946 and 4953?
Answer: GCF of 4946 and 4953 is 1.
2. What are the Factors of 4946?
Answer: Factors of 4946 are 1, 2, 2473, 4946. There are 4 integers that are factors of 4946. The greatest factor of 4946 is 4946.
3. What are the Factors of 4953?
Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.
4. How to Find the GCF of 4946 and 4953?
Answer:
Greatest Common Factor of 4946 and 4953 = 1
Step 1: Find the prime factorization of 4946
4946 = 2 x 2473
Step 2: Find the prime factorization of 4953
4953 = 3 x 13 x 127
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 4946 and 4953 is 1