Greatest Common Factor of 15244 and 15252

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 15244, 15252 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15244 and 15252 is 4.

GCF(15244,15252) = 4

GCF of 15244 and 15252

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

GCF of:
and

Greatest Common Factor of 15244 and 15252

GCF of 15244 and 15252 is 4

Prime Factorization of 15244


2 15244
2 7622
37 3811
103 103
1

Prime factors of 15244 are 2,37,103. Prime factorization of 15244 in exponential form is:

15244 = 22×371×1031

Prime Factorization of 15252


2 15252
2 7626
3 3813
31 1271
41 41
1

Prime factors of 15252 are 2,3,31,41. Prime factorization of 15252 in exponential form is:

15252 = 22×31×311×411

∴ So by taking common prime factors GCF of 15244 and 15252 is 4

Greatest Common Factor of 15244 and 15252 by matching factors method

Factors of 15244

List of positive integer factors of 15244 that divides 15244 without a remainder.

1,2,4,37,74,103,148,206,412,3811,7622,15244

Factors of 15252

List of positive integer factors of 15252 that divides 15252 without a remainder.

1,2,3,4,6,12,31,41,62,82,93,123,124,164,186,246,372,492,1271,2542,3813,5084,7626,15252

Greatest Common Factor

We found the factors and prime factorization of 15244 and 15252. The biggest common factor number is the GCF number.
So the greatest common factor 15244 and 15252 is 4.

Also check out the Least Common Multiple of 15244 and 15252

Properties of GCF 15244 and 15252

(i) The GCF of 15244 and 15252 is associative

GCF of 15244 and 15252 = GCF of 15252 and 15244

Related Greatest Common Factor of 15244

Related Greatest Common Factor of 15252

Frequently Asked Questions on GCF of 15244 and 15252

1. What is the GCF of 15244 and 15252?

Answer: GCF of 15244 and 15252 is 4.

2. What are the Factors of 15244?

Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.

3. What are the Factors of 15252?

Answer: Factors of 15252 are 1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252. There are 24 integers that are factors of 15252. The greatest factor of 15252 is 15252.

4. How to Find the GCF of 15244 and 15252?

Answer:

Greatest Common Factor of 15244 and 15252 = 4

Step 1: Find the prime factorization of 15244

15244 = 2 x 2 x 37 x 103

Step 2: Find the prime factorization of 15252

15252 = 2 x 2 x 3 x 31 x 41

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 15244 and 15252 is 4