Greatest Common Factor of 20376 and 20380

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 20376, 20380 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20376 and 20380 is 4.

GCF(20376,20380) = 4

GCF of 20376 and 20380

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

GCF of:
and

Greatest Common Factor of 20376 and 20380

GCF of 20376 and 20380 is 4

Prime Factorization of 20376


2 20376
2 10188
2 5094
3 2547
3 849
283 283
1

Prime factors of 20376 are 2,3,283. Prime factorization of 20376 in exponential form is:

20376 = 23×32×2831

Prime Factorization of 20380


2 20380
2 10190
5 5095
1019 1019
1

Prime factors of 20380 are 2,5,1019. Prime factorization of 20380 in exponential form is:

20380 = 22×51×10191

∴ So by taking common prime factors GCF of 20376 and 20380 is 4

Greatest Common Factor of 20376 and 20380 by matching factors method

Factors of 20376

List of positive integer factors of 20376 that divides 20376 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,283,566,849,1132,1698,2264,2547,3396,5094,6792,10188,20376

Factors of 20380

List of positive integer factors of 20380 that divides 20380 without a remainder.

1,2,4,5,10,20,1019,2038,4076,5095,10190,20380

Greatest Common Factor

We found the factors and prime factorization of 20376 and 20380. The biggest common factor number is the GCF number.
So the greatest common factor 20376 and 20380 is 4.

Also check out the Least Common Multiple of 20376 and 20380

Properties of GCF 20376 and 20380

(i) The GCF of 20376 and 20380 is associative

GCF of 20376 and 20380 = GCF of 20380 and 20376

Related Greatest Common Factor of 20376

Related Greatest Common Factor of 20380

Frequently Asked Questions on GCF of 20376 and 20380

1. What is the GCF of 20376 and 20380?

Answer: GCF of 20376 and 20380 is 4.

2. What are the Factors of 20376?

Answer: Factors of 20376 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 5094, 6792, 10188, 20376. There are 24 integers that are factors of 20376. The greatest factor of 20376 is 20376.

3. What are the Factors of 20380?

Answer: Factors of 20380 are 1, 2, 4, 5, 10, 20, 1019, 2038, 4076, 5095, 10190, 20380. There are 12 integers that are factors of 20380. The greatest factor of 20380 is 20380.

4. How to Find the GCF of 20376 and 20380?

Answer:

Greatest Common Factor of 20376 and 20380 = 4

Step 1: Find the prime factorization of 20376

20376 = 2 x 2 x 2 x 3 x 3 x 283

Step 2: Find the prime factorization of 20380

20380 = 2 x 2 x 5 x 1019

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 20376 and 20380 is 4