Greatest Common Factor of 5050 and 5053

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 5050, 5053 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5050 and 5053 is 1.

GCF(5050,5053) = 1

GCF of 5050 and 5053

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

GCF of:
and

Greatest Common Factor of 5050 and 5053

GCF of 5050 and 5053 is 1

Prime Factorization of 5050


2 5050
5 2525
5 505
101 101
1

Prime factors of 5050 are 2,5,101. Prime factorization of 5050 in exponential form is:

5050 = 21×52×1011

Prime Factorization of 5053


31 5053
163 163
1

Prime factors of 5053 are 31,163. Prime factorization of 5053 in exponential form is:

5053 = 311×1631

∴ So by taking common prime factors GCF of 5050 and 5053 is 1

Greatest Common Factor of 5050 and 5053 by matching factors method

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Factors of 5053

List of positive integer factors of 5053 that divides 5053 without a remainder.

1,31,163,5053

Greatest Common Factor

We found the factors and prime factorization of 5050 and 5053. The biggest common factor number is the GCF number.
So the greatest common factor 5050 and 5053 is 1.

Also check out the Least Common Multiple of 5050 and 5053

Properties of GCF 5050 and 5053

(i) The GCF of 5050 and 5053 is associative

GCF of 5050 and 5053 = GCF of 5053 and 5050

Related Greatest Common Factor of 5050

Related Greatest Common Factor of 5053

Frequently Asked Questions on GCF of 5050 and 5053

1. What is the GCF of 5050 and 5053?

Answer: GCF of 5050 and 5053 is 1.

2. What are the Factors of 5050?

Answer: Factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050. There are 12 integers that are factors of 5050. The greatest factor of 5050 is 5050.

3. What are the Factors of 5053?

Answer: Factors of 5053 are 1, 31, 163, 5053. There are 4 integers that are factors of 5053. The greatest factor of 5053 is 5053.

4. How to Find the GCF of 5050 and 5053?

Answer:

Greatest Common Factor of 5050 and 5053 = 1

Step 1: Find the prime factorization of 5050

5050 = 2 x 5 x 5 x 101

Step 2: Find the prime factorization of 5053

5053 = 31 x 163

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 5050 and 5053 is 1