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 4727, 4728 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4727 and 4728 is 1.
GCF(4727,4728) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4727
29 | 4727 |
163 | 163 |
1 |
Prime factors of 4727 are 29,163. Prime factorization of 4727 in exponential form is:
4727 = 291×1631
Prime Factorization of 4728
2 | 4728 |
2 | 2364 |
2 | 1182 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 4728 are 2,3,197. Prime factorization of 4728 in exponential form is:
4728 = 23×31×1971
∴ So by taking common prime factors GCF of 4727 and 4728 is 1
Factors of 4727
List of positive integer factors of 4727 that divides 4727 without a remainder.
1,29,163,4727
Factors of 4728
List of positive integer factors of 4728 that divides 4728 without a remainder.
1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors and prime factorization of 4727 and 4728. The biggest common factor number is the GCF number.
So the greatest common factor 4727 and 4728 is 1.
Also check out the Least Common Multiple of 4727 and 4728
(i) The GCF of 4727 and 4728 is associative
GCF of 4727 and 4728 = GCF of 4728 and 4727
1. What is the GCF of 4727 and 4728?
Answer: GCF of 4727 and 4728 is 1.
2. What are the Factors of 4727?
Answer: Factors of 4727 are 1, 29, 163, 4727. There are 4 integers that are factors of 4727. The greatest factor of 4727 is 4727.
3. What are the Factors of 4728?
Answer: Factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728. There are 16 integers that are factors of 4728. The greatest factor of 4728 is 4728.
4. How to Find the GCF of 4727 and 4728?
Answer:
Greatest Common Factor of 4727 and 4728 = 1
Step 1: Find the prime factorization of 4727
4727 = 29 x 163
Step 2: Find the prime factorization of 4728
4728 = 2 x 2 x 2 x 3 x 197
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 4727 and 4728 is 1