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 4772, 4779 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4772 and 4779 is 1.
GCF(4772,4779) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4772
2 | 4772 |
2 | 2386 |
1193 | 1193 |
1 |
Prime factors of 4772 are 2,1193. Prime factorization of 4772 in exponential form is:
4772 = 22×11931
Prime Factorization of 4779
3 | 4779 |
3 | 1593 |
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 4779 are 3,59. Prime factorization of 4779 in exponential form is:
4779 = 34×591
∴ So by taking common prime factors GCF of 4772 and 4779 is 1
Factors of 4772
List of positive integer factors of 4772 that divides 4772 without a remainder.
1,2,4,1193,2386,4772
Factors of 4779
List of positive integer factors of 4779 that divides 4779 without a remainder.
1,3,9,27,59,81,177,531,1593,4779
Greatest Common Factor
We found the factors and prime factorization of 4772 and 4779. The biggest common factor number is the GCF number.
So the greatest common factor 4772 and 4779 is 1.
Also check out the Least Common Multiple of 4772 and 4779
(i) The GCF of 4772 and 4779 is associative
GCF of 4772 and 4779 = GCF of 4779 and 4772
1. What is the GCF of 4772 and 4779?
Answer: GCF of 4772 and 4779 is 1.
2. What are the Factors of 4772?
Answer: Factors of 4772 are 1, 2, 4, 1193, 2386, 4772. There are 6 integers that are factors of 4772. The greatest factor of 4772 is 4772.
3. What are the Factors of 4779?
Answer: Factors of 4779 are 1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779. There are 10 integers that are factors of 4779. The greatest factor of 4779 is 4779.
4. How to Find the GCF of 4772 and 4779?
Answer:
Greatest Common Factor of 4772 and 4779 = 1
Step 1: Find the prime factorization of 4772
4772 = 2 x 2 x 1193
Step 2: Find the prime factorization of 4779
4779 = 3 x 3 x 3 x 3 x 59
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 4772 and 4779 is 1