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 4807, 4812 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4807 and 4812 is 1.
GCF(4807,4812) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4807
11 | 4807 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 4807 are 11,19,23. Prime factorization of 4807 in exponential form is:
4807 = 111×191×231
Prime Factorization of 4812
2 | 4812 |
2 | 2406 |
3 | 1203 |
401 | 401 |
1 |
Prime factors of 4812 are 2,3,401. Prime factorization of 4812 in exponential form is:
4812 = 22×31×4011
∴ So by taking common prime factors GCF of 4807 and 4812 is 1
Factors of 4807
List of positive integer factors of 4807 that divides 4807 without a remainder.
1,11,19,23,209,253,437,4807
Factors of 4812
List of positive integer factors of 4812 that divides 4812 without a remainder.
1,2,3,4,6,12,401,802,1203,1604,2406,4812
Greatest Common Factor
We found the factors and prime factorization of 4807 and 4812. The biggest common factor number is the GCF number.
So the greatest common factor 4807 and 4812 is 1.
Also check out the Least Common Multiple of 4807 and 4812
(i) The GCF of 4807 and 4812 is associative
GCF of 4807 and 4812 = GCF of 4812 and 4807
1. What is the GCF of 4807 and 4812?
Answer: GCF of 4807 and 4812 is 1.
2. What are the Factors of 4807?
Answer: Factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807. There are 8 integers that are factors of 4807. The greatest factor of 4807 is 4807.
3. What are the Factors of 4812?
Answer: Factors of 4812 are 1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812. There are 12 integers that are factors of 4812. The greatest factor of 4812 is 4812.
4. How to Find the GCF of 4807 and 4812?
Answer:
Greatest Common Factor of 4807 and 4812 = 1
Step 1: Find the prime factorization of 4807
4807 = 11 x 19 x 23
Step 2: Find the prime factorization of 4812
4812 = 2 x 2 x 3 x 401
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 4807 and 4812 is 1