Greatest Common Factor of 4895 and 4898

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 4895, 4898 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4895 and 4898 is 1.

GCF(4895,4898) = 1

GCF of 4895 and 4898

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

GCF of:
and

Greatest Common Factor of 4895 and 4898

GCF of 4895 and 4898 is 1

Prime Factorization of 4895


5 4895
11 979
89 89
1

Prime factors of 4895 are 5,11,89. Prime factorization of 4895 in exponential form is:

4895 = 51×111×891

Prime Factorization of 4898


2 4898
31 2449
79 79
1

Prime factors of 4898 are 2,31,79. Prime factorization of 4898 in exponential form is:

4898 = 21×311×791

∴ So by taking common prime factors GCF of 4895 and 4898 is 1

Greatest Common Factor of 4895 and 4898 by matching factors method

Factors of 4895

List of positive integer factors of 4895 that divides 4895 without a remainder.

1,5,11,55,89,445,979,4895

Factors of 4898

List of positive integer factors of 4898 that divides 4898 without a remainder.

1,2,31,62,79,158,2449,4898

Greatest Common Factor

We found the factors and prime factorization of 4895 and 4898. The biggest common factor number is the GCF number.
So the greatest common factor 4895 and 4898 is 1.

Also check out the Least Common Multiple of 4895 and 4898

Properties of GCF 4895 and 4898

(i) The GCF of 4895 and 4898 is associative

GCF of 4895 and 4898 = GCF of 4898 and 4895

Related Greatest Common Factor of 4895

Related Greatest Common Factor of 4898

Frequently Asked Questions on GCF of 4895 and 4898

1. What is the GCF of 4895 and 4898?

Answer: GCF of 4895 and 4898 is 1.

2. What are the Factors of 4895?

Answer: Factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895. There are 8 integers that are factors of 4895. The greatest factor of 4895 is 4895.

3. What are the Factors of 4898?

Answer: Factors of 4898 are 1, 2, 31, 62, 79, 158, 2449, 4898. There are 8 integers that are factors of 4898. The greatest factor of 4898 is 4898.

4. How to Find the GCF of 4895 and 4898?

Answer:

Greatest Common Factor of 4895 and 4898 = 1

Step 1: Find the prime factorization of 4895

4895 = 5 x 11 x 89

Step 2: Find the prime factorization of 4898

4898 = 2 x 31 x 79

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 4895 and 4898 is 1