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 4949, 4955 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4949 and 4955 is 1.
GCF(4949,4955) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4949
7 | 4949 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 4949 are 7,101. Prime factorization of 4949 in exponential form is:
4949 = 72×1011
Prime Factorization of 4955
5 | 4955 |
991 | 991 |
1 |
Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:
4955 = 51×9911
∴ So by taking common prime factors GCF of 4949 and 4955 is 1
Factors of 4949
List of positive integer factors of 4949 that divides 4949 without a remainder.
1,7,49,101,707,4949
Factors of 4955
List of positive integer factors of 4955 that divides 4955 without a remainder.
1,5,991,4955
Greatest Common Factor
We found the factors and prime factorization of 4949 and 4955. The biggest common factor number is the GCF number.
So the greatest common factor 4949 and 4955 is 1.
Also check out the Least Common Multiple of 4949 and 4955
(i) The GCF of 4949 and 4955 is associative
GCF of 4949 and 4955 = GCF of 4955 and 4949
1. What is the GCF of 4949 and 4955?
Answer: GCF of 4949 and 4955 is 1.
2. What are the Factors of 4949?
Answer: Factors of 4949 are 1, 7, 49, 101, 707, 4949. There are 6 integers that are factors of 4949. The greatest factor of 4949 is 4949.
3. What are the Factors of 4955?
Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.
4. How to Find the GCF of 4949 and 4955?
Answer:
Greatest Common Factor of 4949 and 4955 = 1
Step 1: Find the prime factorization of 4949
4949 = 7 x 7 x 101
Step 2: Find the prime factorization of 4955
4955 = 5 x 991
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 4949 and 4955 is 1