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 4860, 4864 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4860 and 4864 is 4.
GCF(4860,4864) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4860
2 | 4860 |
2 | 2430 |
3 | 1215 |
3 | 405 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 4860 are 2,3,5. Prime factorization of 4860 in exponential form is:
4860 = 22×35×51
Prime Factorization of 4864
2 | 4864 |
2 | 2432 |
2 | 1216 |
2 | 608 |
2 | 304 |
2 | 152 |
2 | 76 |
2 | 38 |
19 | 19 |
1 |
Prime factors of 4864 are 2,19. Prime factorization of 4864 in exponential form is:
4864 = 28×191
∴ So by taking common prime factors GCF of 4860 and 4864 is 4
Factors of 4860
List of positive integer factors of 4860 that divides 4860 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860
Factors of 4864
List of positive integer factors of 4864 that divides 4864 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864
Greatest Common Factor
We found the factors and prime factorization of 4860 and 4864. The biggest common factor number is the GCF number.
So the greatest common factor 4860 and 4864 is 4.
Also check out the Least Common Multiple of 4860 and 4864
(i) The GCF of 4860 and 4864 is associative
GCF of 4860 and 4864 = GCF of 4864 and 4860
1. What is the GCF of 4860 and 4864?
Answer: GCF of 4860 and 4864 is 4.
2. What are the Factors of 4860?
Answer: Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860. There are 36 integers that are factors of 4860. The greatest factor of 4860 is 4860.
3. What are the Factors of 4864?
Answer: Factors of 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864. There are 18 integers that are factors of 4864. The greatest factor of 4864 is 4864.
4. How to Find the GCF of 4860 and 4864?
Answer:
Greatest Common Factor of 4860 and 4864 = 4
Step 1: Find the prime factorization of 4860
4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 4864
4864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4860 and 4864 is 4