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 4704, 4705 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4704 and 4705 is 1.
GCF(4704,4705) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4704
2 | 4704 |
2 | 2352 |
2 | 1176 |
2 | 588 |
2 | 294 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 4704 are 2,3,7. Prime factorization of 4704 in exponential form is:
4704 = 25×31×72
Prime Factorization of 4705
5 | 4705 |
941 | 941 |
1 |
Prime factors of 4705 are 5,941. Prime factorization of 4705 in exponential form is:
4705 = 51×9411
∴ So by taking common prime factors GCF of 4704 and 4705 is 1
Factors of 4704
List of positive integer factors of 4704 that divides 4704 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Factors of 4705
List of positive integer factors of 4705 that divides 4705 without a remainder.
1,5,941,4705
Greatest Common Factor
We found the factors and prime factorization of 4704 and 4705. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4705 is 1.
Also check out the Least Common Multiple of 4704 and 4705
(i) The GCF of 4704 and 4705 is associative
GCF of 4704 and 4705 = GCF of 4705 and 4704
1. What is the GCF of 4704 and 4705?
Answer: GCF of 4704 and 4705 is 1.
2. What are the Factors of 4704?
Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.
3. What are the Factors of 4705?
Answer: Factors of 4705 are 1, 5, 941, 4705. There are 4 integers that are factors of 4705. The greatest factor of 4705 is 4705.
4. How to Find the GCF of 4704 and 4705?
Answer:
Greatest Common Factor of 4704 and 4705 = 1
Step 1: Find the prime factorization of 4704
4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7
Step 2: Find the prime factorization of 4705
4705 = 5 x 941
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 4704 and 4705 is 1