Greatest Common Factor of 39228 and 39236

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 39228, 39236 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39228 and 39236 is 4.

GCF(39228,39236) = 4

GCF of 39228 and 39236

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

GCF of:
and

Greatest Common Factor of 39228 and 39236

GCF of 39228 and 39236 is 4

Prime Factorization of 39228


2 39228
2 19614
3 9807
7 3269
467 467
1

Prime factors of 39228 are 2,3,7,467. Prime factorization of 39228 in exponential form is:

39228 = 22×31×71×4671

Prime Factorization of 39236


2 39236
2 19618
17 9809
577 577
1

Prime factors of 39236 are 2,17,577. Prime factorization of 39236 in exponential form is:

39236 = 22×171×5771

∴ So by taking common prime factors GCF of 39228 and 39236 is 4

Greatest Common Factor of 39228 and 39236 by matching factors method

Factors of 39228

List of positive integer factors of 39228 that divides 39228 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,467,934,1401,1868,2802,3269,5604,6538,9807,13076,19614,39228

Factors of 39236

List of positive integer factors of 39236 that divides 39236 without a remainder.

1,2,4,17,34,68,577,1154,2308,9809,19618,39236

Greatest Common Factor

We found the factors and prime factorization of 39228 and 39236. The biggest common factor number is the GCF number.
So the greatest common factor 39228 and 39236 is 4.

Also check out the Least Common Multiple of 39228 and 39236

Properties of GCF 39228 and 39236

(i) The GCF of 39228 and 39236 is associative

GCF of 39228 and 39236 = GCF of 39236 and 39228

Related Greatest Common Factor of 39228

Related Greatest Common Factor of 39236

Frequently Asked Questions on GCF of 39228 and 39236

1. What is the GCF of 39228 and 39236?

Answer: GCF of 39228 and 39236 is 4.

2. What are the Factors of 39228?

Answer: Factors of 39228 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 467, 934, 1401, 1868, 2802, 3269, 5604, 6538, 9807, 13076, 19614, 39228. There are 24 integers that are factors of 39228. The greatest factor of 39228 is 39228.

3. What are the Factors of 39236?

Answer: Factors of 39236 are 1, 2, 4, 17, 34, 68, 577, 1154, 2308, 9809, 19618, 39236. There are 12 integers that are factors of 39236. The greatest factor of 39236 is 39236.

4. How to Find the GCF of 39228 and 39236?

Answer:

Greatest Common Factor of 39228 and 39236 = 4

Step 1: Find the prime factorization of 39228

39228 = 2 x 2 x 3 x 7 x 467

Step 2: Find the prime factorization of 39236

39236 = 2 x 2 x 17 x 577

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 39228 and 39236 is 4