Greatest Common Factor of 15408 and 15414

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 15408, 15414 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15408 and 15414 is 6.

GCF(15408,15414) = 6

GCF of 15408 and 15414

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

GCF of:
and

Greatest Common Factor of 15408 and 15414

GCF of 15408 and 15414 is 6

Prime Factorization of 15408


2 15408
2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 15408 are 2,3,107. Prime factorization of 15408 in exponential form is:

15408 = 24×32×1071

Prime Factorization of 15414


2 15414
3 7707
7 2569
367 367
1

Prime factors of 15414 are 2,3,7,367. Prime factorization of 15414 in exponential form is:

15414 = 21×31×71×3671

∴ So by taking common prime factors GCF of 15408 and 15414 is 6

Greatest Common Factor of 15408 and 15414 by matching factors method

Factors of 15408

List of positive integer factors of 15408 that divides 15408 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,107,144,214,321,428,642,856,963,1284,1712,1926,2568,3852,5136,7704,15408

Factors of 15414

List of positive integer factors of 15414 that divides 15414 without a remainder.

1,2,3,6,7,14,21,42,367,734,1101,2202,2569,5138,7707,15414

Greatest Common Factor

We found the factors and prime factorization of 15408 and 15414. The biggest common factor number is the GCF number.
So the greatest common factor 15408 and 15414 is 6.

Also check out the Least Common Multiple of 15408 and 15414

Properties of GCF 15408 and 15414

(i) The GCF of 15408 and 15414 is associative

GCF of 15408 and 15414 = GCF of 15414 and 15408

Related Greatest Common Factor of 15408

Related Greatest Common Factor of 15414

Frequently Asked Questions on GCF of 15408 and 15414

1. What is the GCF of 15408 and 15414?

Answer: GCF of 15408 and 15414 is 6.

2. What are the Factors of 15408?

Answer: Factors of 15408 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704, 15408. There are 30 integers that are factors of 15408. The greatest factor of 15408 is 15408.

3. What are the Factors of 15414?

Answer: Factors of 15414 are 1, 2, 3, 6, 7, 14, 21, 42, 367, 734, 1101, 2202, 2569, 5138, 7707, 15414. There are 16 integers that are factors of 15414. The greatest factor of 15414 is 15414.

4. How to Find the GCF of 15408 and 15414?

Answer:

Greatest Common Factor of 15408 and 15414 = 6

Step 1: Find the prime factorization of 15408

15408 = 2 x 2 x 2 x 2 x 3 x 3 x 107

Step 2: Find the prime factorization of 15414

15414 = 2 x 3 x 7 x 367

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15408 and 15414 is 6