Greatest Common Factor of 4859 and 4860

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 4859, 4860 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4859 and 4860 is 1.

GCF(4859,4860) = 1

GCF of 4859 and 4860

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4859 and 4860

GCF of 4859 and 4860 is 1

Prime Factorization of 4859


43 4859
113 113
1

Prime factors of 4859 are 43,113. Prime factorization of 4859 in exponential form is:

4859 = 431×1131

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 4859 and 4860 is 1

Greatest Common Factor of 4859 and 4860 by matching factors method

Factors of 4859

List of positive integer factors of 4859 that divides 4859 without a remainder.

1,43,113,4859

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 4859 and 4860. The biggest common factor number is the GCF number.
So the greatest common factor 4859 and 4860 is 1.

Also check out the Least Common Multiple of 4859 and 4860

Properties of GCF 4859 and 4860

(i) The GCF of 4859 and 4860 is associative

GCF of 4859 and 4860 = GCF of 4860 and 4859

Frequently Asked Questions on GCF of 4859 and 4860

1. What is the GCF of 4859 and 4860?

Answer: GCF of 4859 and 4860 is 1.

2. What are the Factors of 4859?

Answer: Factors of 4859 are 1, 43, 113, 4859. There are 4 integers that are factors of 4859. The greatest factor of 4859 is 4859.

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 4859 and 4860?

Answer:

Greatest Common Factor of 4859 and 4860 = 1

Step 1: Find the prime factorization of 4859

4859 = 43 x 113

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 = = 1

Step 4: Therefore, the greatest common factor of 4859 and 4860 is 1