Greatest Common Factor of 369408 and 369412

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 369408, 369412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 369408 and 369412 is 4.

GCF(369408,369412) = 4

GCF of 369408 and 369412

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

GCF of:
and

Greatest Common Factor of 369408 and 369412

GCF of 369408 and 369412 is 4

Prime Factorization of 369408


2 369408
2 184704
2 92352
2 46176
2 23088
2 11544
2 5772
2 2886
3 1443
13 481
37 37
1

Prime factors of 369408 are 2,3,13,37. Prime factorization of 369408 in exponential form is:

369408 = 28×31×131×371

Prime Factorization of 369412


2 369412
2 184706
92353 92353
1

Prime factors of 369412 are 2,92353. Prime factorization of 369412 in exponential form is:

369412 = 22×923531

∴ So by taking common prime factors GCF of 369408 and 369412 is 4

Greatest Common Factor of 369408 and 369412 by matching factors method

Factors of 369408

List of positive integer factors of 369408 that divides 369408 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,37,39,48,52,64,74,78,96,104,111,128,148,156,192,208,222,256,296,312,384,416,444,481,592,624,768,832,888,962,1184,1248,1443,1664,1776,1924,2368,2496,2886,3328,3552,3848,4736,4992,5772,7104,7696,9472,9984,11544,14208,15392,23088,28416,30784,46176,61568,92352,123136,184704,369408

Factors of 369412

List of positive integer factors of 369412 that divides 369412 without a remainder.

1,2,4,92353,184706,369412

Greatest Common Factor

We found the factors and prime factorization of 369408 and 369412. The biggest common factor number is the GCF number.
So the greatest common factor 369408 and 369412 is 4.

Also check out the Least Common Multiple of 369408 and 369412

Properties of GCF 369408 and 369412

(i) The GCF of 369408 and 369412 is associative

GCF of 369408 and 369412 = GCF of 369412 and 369408

Related Greatest Common Factor of 369408

Related Greatest Common Factor of 369412

Frequently Asked Questions on GCF of 369408 and 369412

1. What is the GCF of 369408 and 369412?

Answer: GCF of 369408 and 369412 is 4.

2. What are the Factors of 369408?

Answer: Factors of 369408 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 37, 39, 48, 52, 64, 74, 78, 96, 104, 111, 128, 148, 156, 192, 208, 222, 256, 296, 312, 384, 416, 444, 481, 592, 624, 768, 832, 888, 962, 1184, 1248, 1443, 1664, 1776, 1924, 2368, 2496, 2886, 3328, 3552, 3848, 4736, 4992, 5772, 7104, 7696, 9472, 9984, 11544, 14208, 15392, 23088, 28416, 30784, 46176, 61568, 92352, 123136, 184704, 369408. There are 72 integers that are factors of 369408. The greatest factor of 369408 is 369408.

3. What are the Factors of 369412?

Answer: Factors of 369412 are 1, 2, 4, 92353, 184706, 369412. There are 6 integers that are factors of 369412. The greatest factor of 369412 is 369412.

4. How to Find the GCF of 369408 and 369412?

Answer:

Greatest Common Factor of 369408 and 369412 = 4

Step 1: Find the prime factorization of 369408

369408 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 37

Step 2: Find the prime factorization of 369412

369412 = 2 x 2 x 92353

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 369408 and 369412 is 4