Greatest Common Factor of 5252 and 5254

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 5252, 5254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5252 and 5254 is 2.

GCF(5252,5254) = 2

GCF of 5252 and 5254

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

GCF of:
and

Greatest Common Factor of 5252 and 5254

GCF of 5252 and 5254 is 2

Prime Factorization of 5252


2 5252
2 2626
13 1313
101 101
1

Prime factors of 5252 are 2,13,101. Prime factorization of 5252 in exponential form is:

5252 = 22×131×1011

Prime Factorization of 5254


2 5254
37 2627
71 71
1

Prime factors of 5254 are 2,37,71. Prime factorization of 5254 in exponential form is:

5254 = 21×371×711

∴ So by taking common prime factors GCF of 5252 and 5254 is 2

Greatest Common Factor of 5252 and 5254 by matching factors method

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1,2,4,13,26,52,101,202,404,1313,2626,5252

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1,2,37,71,74,142,2627,5254

Greatest Common Factor

We found the factors and prime factorization of 5252 and 5254. The biggest common factor number is the GCF number.
So the greatest common factor 5252 and 5254 is 2.

Also check out the Least Common Multiple of 5252 and 5254

Properties of GCF 5252 and 5254

(i) The GCF of 5252 and 5254 is associative

GCF of 5252 and 5254 = GCF of 5254 and 5252

Related Greatest Common Factor of 5252

Related Greatest Common Factor of 5254

Frequently Asked Questions on GCF of 5252 and 5254

1. What is the GCF of 5252 and 5254?

Answer: GCF of 5252 and 5254 is 2.

2. What are the Factors of 5252?

Answer: Factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252. There are 12 integers that are factors of 5252. The greatest factor of 5252 is 5252.

3. What are the Factors of 5254?

Answer: Factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254. There are 8 integers that are factors of 5254. The greatest factor of 5254 is 5254.

4. How to Find the GCF of 5252 and 5254?

Answer:

Greatest Common Factor of 5252 and 5254 = 2

Step 1: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

Step 2: Find the prime factorization of 5254

5254 = 2 x 37 x 71

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 5252 and 5254 is 2