Greatest Common Factor of 4236 and 4244

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 4236, 4244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4236 and 4244 is 4.

GCF(4236,4244) = 4

GCF of 4236 and 4244

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

GCF of:
and

Greatest Common Factor of 4236 and 4244

GCF of 4236 and 4244 is 4

Prime Factorization of 4236


2 4236
2 2118
3 1059
353 353
1

Prime factors of 4236 are 2,3,353. Prime factorization of 4236 in exponential form is:

4236 = 22×31×3531

Prime Factorization of 4244


2 4244
2 2122
1061 1061
1

Prime factors of 4244 are 2,1061. Prime factorization of 4244 in exponential form is:

4244 = 22×10611

∴ So by taking common prime factors GCF of 4236 and 4244 is 4

Greatest Common Factor of 4236 and 4244 by matching factors method

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1,2,3,4,6,12,353,706,1059,1412,2118,4236

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1,2,4,1061,2122,4244

Greatest Common Factor

We found the factors and prime factorization of 4236 and 4244. The biggest common factor number is the GCF number.
So the greatest common factor 4236 and 4244 is 4.

Also check out the Least Common Multiple of 4236 and 4244

Properties of GCF 4236 and 4244

(i) The GCF of 4236 and 4244 is associative

GCF of 4236 and 4244 = GCF of 4244 and 4236

Frequently Asked Questions on GCF of 4236 and 4244

1. What is the GCF of 4236 and 4244?

Answer: GCF of 4236 and 4244 is 4.

2. What are the Factors of 4236?

Answer: Factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236. There are 12 integers that are factors of 4236. The greatest factor of 4236 is 4236.

3. What are the Factors of 4244?

Answer: Factors of 4244 are 1, 2, 4, 1061, 2122, 4244. There are 6 integers that are factors of 4244. The greatest factor of 4244 is 4244.

4. How to Find the GCF of 4236 and 4244?

Answer:

Greatest Common Factor of 4236 and 4244 = 4

Step 1: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

Step 2: Find the prime factorization of 4244

4244 = 2 x 2 x 1061

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 4236 and 4244 is 4