Greatest Common Factor of 5380 and 5386

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 5380, 5386 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5380 and 5386 is 2.

GCF(5380,5386) = 2

GCF of 5380 and 5386

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

GCF of:
and

Greatest Common Factor of 5380 and 5386

GCF of 5380 and 5386 is 2

Prime Factorization of 5380


2 5380
2 2690
5 1345
269 269
1

Prime factors of 5380 are 2,5,269. Prime factorization of 5380 in exponential form is:

5380 = 22×51×2691

Prime Factorization of 5386


2 5386
2693 2693
1

Prime factors of 5386 are 2,2693. Prime factorization of 5386 in exponential form is:

5386 = 21×26931

∴ So by taking common prime factors GCF of 5380 and 5386 is 2

Greatest Common Factor of 5380 and 5386 by matching factors method

Factors of 5380

List of positive integer factors of 5380 that divides 5380 without a remainder.

1,2,4,5,10,20,269,538,1076,1345,2690,5380

Factors of 5386

List of positive integer factors of 5386 that divides 5386 without a remainder.

1,2,2693,5386

Greatest Common Factor

We found the factors and prime factorization of 5380 and 5386. The biggest common factor number is the GCF number.
So the greatest common factor 5380 and 5386 is 2.

Also check out the Least Common Multiple of 5380 and 5386

Properties of GCF 5380 and 5386

(i) The GCF of 5380 and 5386 is associative

GCF of 5380 and 5386 = GCF of 5386 and 5380

Related Greatest Common Factor of 5380

Related Greatest Common Factor of 5386

Frequently Asked Questions on GCF of 5380 and 5386

1. What is the GCF of 5380 and 5386?

Answer: GCF of 5380 and 5386 is 2.

2. What are the Factors of 5380?

Answer: Factors of 5380 are 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380. There are 12 integers that are factors of 5380. The greatest factor of 5380 is 5380.

3. What are the Factors of 5386?

Answer: Factors of 5386 are 1, 2, 2693, 5386. There are 4 integers that are factors of 5386. The greatest factor of 5386 is 5386.

4. How to Find the GCF of 5380 and 5386?

Answer:

Greatest Common Factor of 5380 and 5386 = 2

Step 1: Find the prime factorization of 5380

5380 = 2 x 2 x 5 x 269

Step 2: Find the prime factorization of 5386

5386 = 2 x 2693

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 5380 and 5386 is 2