Greatest Common Factor of 15224 and 15228

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 15224, 15228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15224 and 15228 is 4.

GCF(15224,15228) = 4

GCF of 15224 and 15228

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

GCF of:
and

Greatest Common Factor of 15224 and 15228

GCF of 15224 and 15228 is 4

Prime Factorization of 15224


2 15224
2 7612
2 3806
11 1903
173 173
1

Prime factors of 15224 are 2,11,173. Prime factorization of 15224 in exponential form is:

15224 = 23×111×1731

Prime Factorization of 15228


2 15228
2 7614
3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 15228 are 2,3,47. Prime factorization of 15228 in exponential form is:

15228 = 22×34×471

∴ So by taking common prime factors GCF of 15224 and 15228 is 4

Greatest Common Factor of 15224 and 15228 by matching factors method

Factors of 15224

List of positive integer factors of 15224 that divides 15224 without a remainder.

1,2,4,8,11,22,44,88,173,346,692,1384,1903,3806,7612,15224

Factors of 15228

List of positive integer factors of 15228 that divides 15228 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,81,94,108,141,162,188,282,324,423,564,846,1269,1692,2538,3807,5076,7614,15228

Greatest Common Factor

We found the factors and prime factorization of 15224 and 15228. The biggest common factor number is the GCF number.
So the greatest common factor 15224 and 15228 is 4.

Also check out the Least Common Multiple of 15224 and 15228

Properties of GCF 15224 and 15228

(i) The GCF of 15224 and 15228 is associative

GCF of 15224 and 15228 = GCF of 15228 and 15224

Related Greatest Common Factor of 15224

Related Greatest Common Factor of 15228

Frequently Asked Questions on GCF of 15224 and 15228

1. What is the GCF of 15224 and 15228?

Answer: GCF of 15224 and 15228 is 4.

2. What are the Factors of 15224?

Answer: Factors of 15224 are 1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612, 15224. There are 16 integers that are factors of 15224. The greatest factor of 15224 is 15224.

3. What are the Factors of 15228?

Answer: Factors of 15228 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 81, 94, 108, 141, 162, 188, 282, 324, 423, 564, 846, 1269, 1692, 2538, 3807, 5076, 7614, 15228. There are 30 integers that are factors of 15228. The greatest factor of 15228 is 15228.

4. How to Find the GCF of 15224 and 15228?

Answer:

Greatest Common Factor of 15224 and 15228 = 4

Step 1: Find the prime factorization of 15224

15224 = 2 x 2 x 2 x 11 x 173

Step 2: Find the prime factorization of 15228

15228 = 2 x 2 x 3 x 3 x 3 x 3 x 47

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 15224 and 15228 is 4