Greatest Common Factor of 4252 and 4254

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 4252, 4254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4252 and 4254 is 2.

GCF(4252,4254) = 2

GCF of 4252 and 4254

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

GCF of:
and

Greatest Common Factor of 4252 and 4254

GCF of 4252 and 4254 is 2

Prime Factorization of 4252


2 4252
2 2126
1063 1063
1

Prime factors of 4252 are 2,1063. Prime factorization of 4252 in exponential form is:

4252 = 22×10631

Prime Factorization of 4254


2 4254
3 2127
709 709
1

Prime factors of 4254 are 2,3,709. Prime factorization of 4254 in exponential form is:

4254 = 21×31×7091

∴ So by taking common prime factors GCF of 4252 and 4254 is 2

Greatest Common Factor of 4252 and 4254 by matching factors method

Factors of 4252

List of positive integer factors of 4252 that divides 4252 without a remainder.

1,2,4,1063,2126,4252

Factors of 4254

List of positive integer factors of 4254 that divides 4254 without a remainder.

1,2,3,6,709,1418,2127,4254

Greatest Common Factor

We found the factors and prime factorization of 4252 and 4254. The biggest common factor number is the GCF number.
So the greatest common factor 4252 and 4254 is 2.

Also check out the Least Common Multiple of 4252 and 4254

Properties of GCF 4252 and 4254

(i) The GCF of 4252 and 4254 is associative

GCF of 4252 and 4254 = GCF of 4254 and 4252

Related Greatest Common Factor of 4252

Related Greatest Common Factor of 4254

Frequently Asked Questions on GCF of 4252 and 4254

1. What is the GCF of 4252 and 4254?

Answer: GCF of 4252 and 4254 is 2.

2. What are the Factors of 4252?

Answer: Factors of 4252 are 1, 2, 4, 1063, 2126, 4252. There are 6 integers that are factors of 4252. The greatest factor of 4252 is 4252.

3. What are the Factors of 4254?

Answer: Factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254. There are 8 integers that are factors of 4254. The greatest factor of 4254 is 4254.

4. How to Find the GCF of 4252 and 4254?

Answer:

Greatest Common Factor of 4252 and 4254 = 2

Step 1: Find the prime factorization of 4252

4252 = 2 x 2 x 1063

Step 2: Find the prime factorization of 4254

4254 = 2 x 3 x 709

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 4252 and 4254 is 2