Greatest Common Factor of 4368 and 4370

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, 4370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4368 and 4370 is 2.

GCF(4368,4370) = 2

GCF of 4368 and 4370

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

GCF of:
and

Greatest Common Factor of 4368 and 4370

GCF of 4368 and 4370 is 2

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 4370


2 4370
5 2185
19 437
23 23
1

Prime factors of 4370 are 2,5,19,23. Prime factorization of 4370 in exponential form is:

4370 = 21×51×191×231

∴ So by taking common prime factors GCF of 4368 and 4370 is 2

Greatest Common Factor of 4368 and 4370 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 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Greatest Common Factor

We found the factors and prime factorization of 4368 and 4370. The biggest common factor number is the GCF number.
So the greatest common factor 4368 and 4370 is 2.

Also check out the Least Common Multiple of 4368 and 4370

Properties of GCF 4368 and 4370

(i) The GCF of 4368 and 4370 is associative

GCF of 4368 and 4370 = GCF of 4370 and 4368

Related Greatest Common Factor of 4368

Related Greatest Common Factor of 4370

Frequently Asked Questions on GCF of 4368 and 4370

1. What is the GCF of 4368 and 4370?

Answer: GCF of 4368 and 4370 is 2.

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 4370?

Answer: Factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370. There are 16 integers that are factors of 4370. The greatest factor of 4370 is 4370.

4. How to Find the GCF of 4368 and 4370?

Answer:

Greatest Common Factor of 4368 and 4370 = 2

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 4370

4370 = 2 x 5 x 19 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4368 and 4370 is 2