Greatest Common Factor of 5045 and 5050

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 5045, 5050 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5045 and 5050 is 5.

GCF(5045,5050) = 5

GCF of 5045 and 5050

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

GCF of:
and

Greatest Common Factor of 5045 and 5050

GCF of 5045 and 5050 is 5

Prime Factorization of 5045


5 5045
1009 1009
1

Prime factors of 5045 are 5,1009. Prime factorization of 5045 in exponential form is:

5045 = 51×10091

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

∴ So by taking common prime factors GCF of 5045 and 5050 is 5

Greatest Common Factor of 5045 and 5050 by matching factors method

Factors of 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1,5,1009,5045

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

Greatest Common Factor

We found the factors and prime factorization of 5045 and 5050. The biggest common factor number is the GCF number.
So the greatest common factor 5045 and 5050 is 5.

Also check out the Least Common Multiple of 5045 and 5050

Properties of GCF 5045 and 5050

(i) The GCF of 5045 and 5050 is associative

GCF of 5045 and 5050 = GCF of 5050 and 5045

Related Greatest Common Factor of 5045

Related Greatest Common Factor of 5050

Frequently Asked Questions on GCF of 5045 and 5050

1. What is the GCF of 5045 and 5050?

Answer: GCF of 5045 and 5050 is 5.

2. What are the Factors of 5045?

Answer: Factors of 5045 are 1, 5, 1009, 5045. There are 4 integers that are factors of 5045. The greatest factor of 5045 is 5045.

3. 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.

4. How to Find the GCF of 5045 and 5050?

Answer:

Greatest Common Factor of 5045 and 5050 = 5

Step 1: Find the prime factorization of 5045

5045 = 5 x 1009

Step 2: Find the prime factorization of 5050

5050 = 2 x 5 x 5 x 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 5045 and 5050 is 5