Greatest Common Factor of 5372 and 5380

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 5372, 5380 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5372 and 5380 is 4.

GCF(5372,5380) = 4

GCF of 5372 and 5380

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

GCF of:
and

Greatest Common Factor of 5372 and 5380

GCF of 5372 and 5380 is 4

Prime Factorization of 5372


2 5372
2 2686
17 1343
79 79
1

Prime factors of 5372 are 2,17,79. Prime factorization of 5372 in exponential form is:

5372 = 22×171×791

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

∴ So by taking common prime factors GCF of 5372 and 5380 is 4

Greatest Common Factor of 5372 and 5380 by matching factors method

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1,2,4,17,34,68,79,158,316,1343,2686,5372

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

Greatest Common Factor

We found the factors and prime factorization of 5372 and 5380. The biggest common factor number is the GCF number.
So the greatest common factor 5372 and 5380 is 4.

Also check out the Least Common Multiple of 5372 and 5380

Properties of GCF 5372 and 5380

(i) The GCF of 5372 and 5380 is associative

GCF of 5372 and 5380 = GCF of 5380 and 5372

Related Greatest Common Factor of 5372

Related Greatest Common Factor of 5380

Frequently Asked Questions on GCF of 5372 and 5380

1. What is the GCF of 5372 and 5380?

Answer: GCF of 5372 and 5380 is 4.

2. What are the Factors of 5372?

Answer: Factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372. There are 12 integers that are factors of 5372. The greatest factor of 5372 is 5372.

3. 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.

4. How to Find the GCF of 5372 and 5380?

Answer:

Greatest Common Factor of 5372 and 5380 = 4

Step 1: Find the prime factorization of 5372

5372 = 2 x 2 x 17 x 79

Step 2: Find the prime factorization of 5380

5380 = 2 x 2 x 5 x 269

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 5372 and 5380 is 4