Greatest Common Factor of 4248 and 4252

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 4248, 4252 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4248 and 4252 is 4.

GCF(4248,4252) = 4

GCF of 4248 and 4252

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

GCF of:
and

Greatest Common Factor of 4248 and 4252

GCF of 4248 and 4252 is 4

Prime Factorization of 4248


2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 4248 are 2,3,59. Prime factorization of 4248 in exponential form is:

4248 = 23×32×591

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

∴ So by taking common prime factors GCF of 4248 and 4252 is 4

Greatest Common Factor of 4248 and 4252 by matching factors method

Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248

Factors of 4252

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

1,2,4,1063,2126,4252

Greatest Common Factor

We found the factors and prime factorization of 4248 and 4252. The biggest common factor number is the GCF number.
So the greatest common factor 4248 and 4252 is 4.

Also check out the Least Common Multiple of 4248 and 4252

Properties of GCF 4248 and 4252

(i) The GCF of 4248 and 4252 is associative

GCF of 4248 and 4252 = GCF of 4252 and 4248

Related Greatest Common Factor of 4248

Related Greatest Common Factor of 4252

Frequently Asked Questions on GCF of 4248 and 4252

1. What is the GCF of 4248 and 4252?

Answer: GCF of 4248 and 4252 is 4.

2. What are the Factors of 4248?

Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.

3. 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.

4. How to Find the GCF of 4248 and 4252?

Answer:

Greatest Common Factor of 4248 and 4252 = 4

Step 1: Find the prime factorization of 4248

4248 = 2 x 2 x 2 x 3 x 3 x 59

Step 2: Find the prime factorization of 4252

4252 = 2 x 2 x 1063

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4248 and 4252 is 4