Greatest Common Factor of 39244 and 39248

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 39244, 39248 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39244 and 39248 is 4.

GCF(39244,39248) = 4

GCF of 39244 and 39248

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

GCF of:
and

Greatest Common Factor of 39244 and 39248

GCF of 39244 and 39248 is 4

Prime Factorization of 39244


2 39244
2 19622
9811 9811
1

Prime factors of 39244 are 2,9811. Prime factorization of 39244 in exponential form is:

39244 = 22×98111

Prime Factorization of 39248


2 39248
2 19624
2 9812
2 4906
11 2453
223 223
1

Prime factors of 39248 are 2,11,223. Prime factorization of 39248 in exponential form is:

39248 = 24×111×2231

∴ So by taking common prime factors GCF of 39244 and 39248 is 4

Greatest Common Factor of 39244 and 39248 by matching factors method

Factors of 39244

List of positive integer factors of 39244 that divides 39244 without a remainder.

1,2,4,9811,19622,39244

Factors of 39248

List of positive integer factors of 39248 that divides 39248 without a remainder.

1,2,4,8,11,16,22,44,88,176,223,446,892,1784,2453,3568,4906,9812,19624,39248

Greatest Common Factor

We found the factors and prime factorization of 39244 and 39248. The biggest common factor number is the GCF number.
So the greatest common factor 39244 and 39248 is 4.

Also check out the Least Common Multiple of 39244 and 39248

Properties of GCF 39244 and 39248

(i) The GCF of 39244 and 39248 is associative

GCF of 39244 and 39248 = GCF of 39248 and 39244

Related Greatest Common Factor of 39244

Related Greatest Common Factor of 39248

Frequently Asked Questions on GCF of 39244 and 39248

1. What is the GCF of 39244 and 39248?

Answer: GCF of 39244 and 39248 is 4.

2. What are the Factors of 39244?

Answer: Factors of 39244 are 1, 2, 4, 9811, 19622, 39244. There are 6 integers that are factors of 39244. The greatest factor of 39244 is 39244.

3. What are the Factors of 39248?

Answer: Factors of 39248 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624, 39248. There are 20 integers that are factors of 39248. The greatest factor of 39248 is 39248.

4. How to Find the GCF of 39244 and 39248?

Answer:

Greatest Common Factor of 39244 and 39248 = 4

Step 1: Find the prime factorization of 39244

39244 = 2 x 2 x 9811

Step 2: Find the prime factorization of 39248

39248 = 2 x 2 x 2 x 2 x 11 x 223

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 39244 and 39248 is 4