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 4969, 4975 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4969 and 4975 is 1.
GCF(4969,4975) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4969
4969 | 4969 |
1 |
Prime factors of 4969 are 4969. Prime factorization of 4969 in exponential form is:
4969 = 49691
Prime Factorization of 4975
5 | 4975 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 4975 are 5.Prime factorization of 4975 in exponential form is:
4975 = 52×1991
∴ So by taking common prime factors GCF of 4969 and 4975 is 1
Factors of 4969
List of positive integer factors of 4969 that divides 4969 without a remainder.
1,4969
Factors of 4975
List of positive integer factors of 4975 that divides 4975 without a remainder.
1,5,25,199,995,4975
Greatest Common Factor
We found the factors and prime factorization of 4969 and 4975. The biggest common factor number is the GCF number.
So the greatest common factor 4969 and 4975 is 1.
Also check out the Least Common Multiple of 4969 and 4975
(i) The GCF of 4969 and 4975 is associative
GCF of 4969 and 4975 = GCF of 4975 and 4969
1. What is the GCF of 4969 and 4975?
Answer: GCF of 4969 and 4975 is 1.
2. What are the Factors of 4969?
Answer: Factors of 4969 are 1, 4969. There are 2 integers that are factors of 4969. The greatest factor of 4969 is 4969.
3. What are the Factors of 4975?
Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.
4. How to Find the GCF of 4969 and 4975?
Answer:
Greatest Common Factor of 4969 and 4975 = 1
Step 1: Find the prime factorization of 4969
4969 = 4969
Step 2: Find the prime factorization of 4975
4975 = 5 x 5 x 199
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 4969 and 4975 is 1