Greatest Common Factor of 4368 and 4374

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 4368, 4374 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4368 and 4374 is 6.

GCF(4368,4374) = 6

GCF of 4368 and 4374

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

GCF of:
and

Greatest Common Factor of 4368 and 4374

GCF of 4368 and 4374 is 6

Prime Factorization of 4368


2 4368
2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 4368 are 2,3,7,13. Prime factorization of 4368 in exponential form is:

4368 = 24×31×71×131

Prime Factorization of 4374


2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:

4374 = 21×37

∴ So by taking common prime factors GCF of 4368 and 4374 is 6

Greatest Common Factor of 4368 and 4374 by matching factors method

Factors of 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Greatest Common Factor

We found the factors and prime factorization of 4368 and 4374. The biggest common factor number is the GCF number.
So the greatest common factor 4368 and 4374 is 6.

Also check out the Least Common Multiple of 4368 and 4374

Properties of GCF 4368 and 4374

(i) The GCF of 4368 and 4374 is associative

GCF of 4368 and 4374 = GCF of 4374 and 4368

Related Greatest Common Factor of 4368

Related Greatest Common Factor of 4374

Frequently Asked Questions on GCF of 4368 and 4374

1. What is the GCF of 4368 and 4374?

Answer: GCF of 4368 and 4374 is 6.

2. What are the Factors of 4368?

Answer: Factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368. There are 40 integers that are factors of 4368. The greatest factor of 4368 is 4368.

3. What are the Factors of 4374?

Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.

4. How to Find the GCF of 4368 and 4374?

Answer:

Greatest Common Factor of 4368 and 4374 = 6

Step 1: Find the prime factorization of 4368

4368 = 2 x 2 x 2 x 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 4374

4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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 4368 and 4374 is 6