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 4650, 4657 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4650 and 4657 is 1.
GCF(4650,4657) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4650
2 | 4650 |
3 | 2325 |
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 4650 are 2,3,5,31. Prime factorization of 4650 in exponential form is:
4650 = 21×31×52×311
Prime Factorization of 4657
4657 | 4657 |
1 |
Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:
4657 = 46571
∴ So by taking common prime factors GCF of 4650 and 4657 is 1
Factors of 4650
List of positive integer factors of 4650 that divides 4650 without a remainder.
1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650
Factors of 4657
List of positive integer factors of 4657 that divides 4657 without a remainder.
1,4657
Greatest Common Factor
We found the factors and prime factorization of 4650 and 4657. The biggest common factor number is the GCF number.
So the greatest common factor 4650 and 4657 is 1.
Also check out the Least Common Multiple of 4650 and 4657
(i) The GCF of 4650 and 4657 is associative
GCF of 4650 and 4657 = GCF of 4657 and 4650
1. What is the GCF of 4650 and 4657?
Answer: GCF of 4650 and 4657 is 1.
2. What are the Factors of 4650?
Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.
3. What are the Factors of 4657?
Answer: Factors of 4657 are 1, 4657. There are 2 integers that are factors of 4657. The greatest factor of 4657 is 4657.
4. How to Find the GCF of 4650 and 4657?
Answer:
Greatest Common Factor of 4650 and 4657 = 1
Step 1: Find the prime factorization of 4650
4650 = 2 x 3 x 5 x 5 x 31
Step 2: Find the prime factorization of 4657
4657 = 4657
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 4650 and 4657 is 1