Greatest Common Factor of 4900 and 4903

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 4900, 4903 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4900 and 4903 is 1.

GCF(4900,4903) = 1

GCF of 4900 and 4903

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

GCF of:
and

Greatest Common Factor of 4900 and 4903

GCF of 4900 and 4903 is 1

Prime Factorization of 4900


2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 4900 are 2,5,7. Prime factorization of 4900 in exponential form is:

4900 = 22×52×72

Prime Factorization of 4903


4903 4903
1

Prime factors of 4903 are 4903. Prime factorization of 4903 in exponential form is:

4903 = 49031

∴ So by taking common prime factors GCF of 4900 and 4903 is 1

Greatest Common Factor of 4900 and 4903 by matching factors method

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Factors of 4903

List of positive integer factors of 4903 that divides 4903 without a remainder.

1,4903

Greatest Common Factor

We found the factors and prime factorization of 4900 and 4903. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4903 is 1.

Also check out the Least Common Multiple of 4900 and 4903

Properties of GCF 4900 and 4903

(i) The GCF of 4900 and 4903 is associative

GCF of 4900 and 4903 = GCF of 4903 and 4900

Frequently Asked Questions on GCF of 4900 and 4903

1. What is the GCF of 4900 and 4903?

Answer: GCF of 4900 and 4903 is 1.

2. What are the Factors of 4900?

Answer: Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. There are 27 integers that are factors of 4900. The greatest factor of 4900 is 4900.

3. What are the Factors of 4903?

Answer: Factors of 4903 are 1, 4903. There are 2 integers that are factors of 4903. The greatest factor of 4903 is 4903.

4. How to Find the GCF of 4900 and 4903?

Answer:

Greatest Common Factor of 4900 and 4903 = 1

Step 1: Find the prime factorization of 4900

4900 = 2 x 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 4903

4903 = 4903

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 4900 and 4903 is 1