Greatest Common Factor of 82364 and 82372

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 82364, 82372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82364 and 82372 is 4.

GCF(82364,82372) = 4

GCF of 82364 and 82372

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

GCF of:
and

Greatest Common Factor of 82364 and 82372

GCF of 82364 and 82372 is 4

Prime Factorization of 82364


2 82364
2 41182
59 20591
349 349
1

Prime factors of 82364 are 2,59,349. Prime factorization of 82364 in exponential form is:

82364 = 22×591×3491

Prime Factorization of 82372


2 82372
2 41186
20593 20593
1

Prime factors of 82372 are 2,20593. Prime factorization of 82372 in exponential form is:

82372 = 22×205931

∴ So by taking common prime factors GCF of 82364 and 82372 is 4

Greatest Common Factor of 82364 and 82372 by matching factors method

Factors of 82364

List of positive integer factors of 82364 that divides 82364 without a remainder.

1,2,4,59,118,236,349,698,1396,20591,41182,82364

Factors of 82372

List of positive integer factors of 82372 that divides 82372 without a remainder.

1,2,4,20593,41186,82372

Greatest Common Factor

We found the factors and prime factorization of 82364 and 82372. The biggest common factor number is the GCF number.
So the greatest common factor 82364 and 82372 is 4.

Also check out the Least Common Multiple of 82364 and 82372

Properties of GCF 82364 and 82372

(i) The GCF of 82364 and 82372 is associative

GCF of 82364 and 82372 = GCF of 82372 and 82364

Related Greatest Common Factor of 82364

Related Greatest Common Factor of 82372

Frequently Asked Questions on GCF of 82364 and 82372

1. What is the GCF of 82364 and 82372?

Answer: GCF of 82364 and 82372 is 4.

2. What are the Factors of 82364?

Answer: Factors of 82364 are 1, 2, 4, 59, 118, 236, 349, 698, 1396, 20591, 41182, 82364. There are 12 integers that are factors of 82364. The greatest factor of 82364 is 82364.

3. What are the Factors of 82372?

Answer: Factors of 82372 are 1, 2, 4, 20593, 41186, 82372. There are 6 integers that are factors of 82372. The greatest factor of 82372 is 82372.

4. How to Find the GCF of 82364 and 82372?

Answer:

Greatest Common Factor of 82364 and 82372 = 4

Step 1: Find the prime factorization of 82364

82364 = 2 x 2 x 59 x 349

Step 2: Find the prime factorization of 82372

82372 = 2 x 2 x 20593

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 82364 and 82372 is 4