Greatest Common Factor of 4368 and 4375

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, 4375 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4368 and 4375 is 7.

GCF(4368,4375) = 7

GCF of 4368 and 4375

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

GCF of:
and

Greatest Common Factor of 4368 and 4375

GCF of 4368 and 4375 is 7

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 4375


5 4375
5 875
5 175
5 35
7 7
1

Prime factors of 4375 are 5,7. Prime factorization of 4375 in exponential form is:

4375 = 54×71

∴ So by taking common prime factors GCF of 4368 and 4375 is 7

Greatest Common Factor of 4368 and 4375 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 4375

List of positive integer factors of 4375 that divides 4375 without a remainder.

1,5,7,25,35,125,175,625,875,4375

Greatest Common Factor

We found the factors and prime factorization of 4368 and 4375. The biggest common factor number is the GCF number.
So the greatest common factor 4368 and 4375 is 7.

Also check out the Least Common Multiple of 4368 and 4375

Properties of GCF 4368 and 4375

(i) The GCF of 4368 and 4375 is associative

GCF of 4368 and 4375 = GCF of 4375 and 4368

Related Greatest Common Factor of 4368

Related Greatest Common Factor of 4375

Frequently Asked Questions on GCF of 4368 and 4375

1. What is the GCF of 4368 and 4375?

Answer: GCF of 4368 and 4375 is 7.

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 4375?

Answer: Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. There are 10 integers that are factors of 4375. The greatest factor of 4375 is 4375.

4. How to Find the GCF of 4368 and 4375?

Answer:

Greatest Common Factor of 4368 and 4375 = 7

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 4375

4375 = 5 x 5 x 5 x 5 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4368 and 4375 is 7