Greatest Common Factor of 5046 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 5046, 5050 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5046 and 5050 is 2.

GCF(5046,5050) = 2

GCF of 5046 and 5050

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

GCF of:
and

Greatest Common Factor of 5046 and 5050

GCF of 5046 and 5050 is 2

Prime Factorization of 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2,3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

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 5046 and 5050 is 2

Greatest Common Factor of 5046 and 5050 by matching factors method

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1,2,3,6,29,58,87,174,841,1682,2523,5046

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 5046 and 5050. The biggest common factor number is the GCF number.
So the greatest common factor 5046 and 5050 is 2.

Also check out the Least Common Multiple of 5046 and 5050

Properties of GCF 5046 and 5050

(i) The GCF of 5046 and 5050 is associative

GCF of 5046 and 5050 = GCF of 5050 and 5046

Related Greatest Common Factor of 5046

Related Greatest Common Factor of 5050

Frequently Asked Questions on GCF of 5046 and 5050

1. What is the GCF of 5046 and 5050?

Answer: GCF of 5046 and 5050 is 2.

2. What are the Factors of 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

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 5046 and 5050?

Answer:

Greatest Common Factor of 5046 and 5050 = 2

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

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 = 2

Step 4: Therefore, the greatest common factor of 5046 and 5050 is 2