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 4858, 4860 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4858 and 4860 is 2.
GCF(4858,4860) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4858
2 | 4858 |
7 | 2429 |
347 | 347 |
1 |
Prime factors of 4858 are 2,7,347. Prime factorization of 4858 in exponential form is:
4858 = 21×71×3471
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
∴ So by taking common prime factors GCF of 4858 and 4860 is 2
Factors of 4858
List of positive integer factors of 4858 that divides 4858 without a remainder.
1,2,7,14,347,694,2429,4858
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
Greatest Common Factor
We found the factors and prime factorization of 4858 and 4860. The biggest common factor number is the GCF number.
So the greatest common factor 4858 and 4860 is 2.
Also check out the Least Common Multiple of 4858 and 4860
(i) The GCF of 4858 and 4860 is associative
GCF of 4858 and 4860 = GCF of 4860 and 4858
1. What is the GCF of 4858 and 4860?
Answer: GCF of 4858 and 4860 is 2.
2. What are the Factors of 4858?
Answer: Factors of 4858 are 1, 2, 7, 14, 347, 694, 2429, 4858. There are 8 integers that are factors of 4858. The greatest factor of 4858 is 4858.
3. 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.
4. How to Find the GCF of 4858 and 4860?
Answer:
Greatest Common Factor of 4858 and 4860 = 2
Step 1: Find the prime factorization of 4858
4858 = 2 x 7 x 347
Step 2: Find the prime factorization of 4860
4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4858 and 4860 is 2