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 4640, 4648 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4640 and 4648 is 8.
GCF(4640,4648) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4640
2 | 4640 |
2 | 2320 |
2 | 1160 |
2 | 580 |
2 | 290 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 4640 are 2,5,29. Prime factorization of 4640 in exponential form is:
4640 = 25×51×291
Prime Factorization of 4648
2 | 4648 |
2 | 2324 |
2 | 1162 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 4648 are 2,7,83. Prime factorization of 4648 in exponential form is:
4648 = 23×71×831
∴ So by taking common prime factors GCF of 4640 and 4648 is 8
Factors of 4640
List of positive integer factors of 4640 that divides 4640 without a remainder.
1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Factors of 4648
List of positive integer factors of 4648 that divides 4648 without a remainder.
1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648
Greatest Common Factor
We found the factors and prime factorization of 4640 and 4648. The biggest common factor number is the GCF number.
So the greatest common factor 4640 and 4648 is 8.
Also check out the Least Common Multiple of 4640 and 4648
(i) The GCF of 4640 and 4648 is associative
GCF of 4640 and 4648 = GCF of 4648 and 4640
1. What is the GCF of 4640 and 4648?
Answer: GCF of 4640 and 4648 is 8.
2. What are the Factors of 4640?
Answer: Factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640. There are 24 integers that are factors of 4640. The greatest factor of 4640 is 4640.
3. What are the Factors of 4648?
Answer: Factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648. There are 16 integers that are factors of 4648. The greatest factor of 4648 is 4648.
4. How to Find the GCF of 4640 and 4648?
Answer:
Greatest Common Factor of 4640 and 4648 = 8
Step 1: Find the prime factorization of 4640
4640 = 2 x 2 x 2 x 2 x 2 x 5 x 29
Step 2: Find the prime factorization of 4648
4648 = 2 x 2 x 2 x 7 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 4640 and 4648 is 8