Greatest Common Factor of 10172 and 10180

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 10172, 10180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10172 and 10180 is 4.

GCF(10172,10180) = 4

GCF of 10172 and 10180

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

GCF of:
and

Greatest Common Factor of 10172 and 10180

GCF of 10172 and 10180 is 4

Prime Factorization of 10172


2 10172
2 5086
2543 2543
1

Prime factors of 10172 are 2,2543. Prime factorization of 10172 in exponential form is:

10172 = 22×25431

Prime Factorization of 10180


2 10180
2 5090
5 2545
509 509
1

Prime factors of 10180 are 2,5,509. Prime factorization of 10180 in exponential form is:

10180 = 22×51×5091

∴ So by taking common prime factors GCF of 10172 and 10180 is 4

Greatest Common Factor of 10172 and 10180 by matching factors method

Factors of 10172

List of positive integer factors of 10172 that divides 10172 without a remainder.

1,2,4,2543,5086,10172

Factors of 10180

List of positive integer factors of 10180 that divides 10180 without a remainder.

1,2,4,5,10,20,509,1018,2036,2545,5090,10180

Greatest Common Factor

We found the factors and prime factorization of 10172 and 10180. The biggest common factor number is the GCF number.
So the greatest common factor 10172 and 10180 is 4.

Also check out the Least Common Multiple of 10172 and 10180

Properties of GCF 10172 and 10180

(i) The GCF of 10172 and 10180 is associative

GCF of 10172 and 10180 = GCF of 10180 and 10172

Related Greatest Common Factor of 10172

Related Greatest Common Factor of 10180

Frequently Asked Questions on GCF of 10172 and 10180

1. What is the GCF of 10172 and 10180?

Answer: GCF of 10172 and 10180 is 4.

2. What are the Factors of 10172?

Answer: Factors of 10172 are 1, 2, 4, 2543, 5086, 10172. There are 6 integers that are factors of 10172. The greatest factor of 10172 is 10172.

3. What are the Factors of 10180?

Answer: Factors of 10180 are 1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180. There are 12 integers that are factors of 10180. The greatest factor of 10180 is 10180.

4. How to Find the GCF of 10172 and 10180?

Answer:

Greatest Common Factor of 10172 and 10180 = 4

Step 1: Find the prime factorization of 10172

10172 = 2 x 2 x 2543

Step 2: Find the prime factorization of 10180

10180 = 2 x 2 x 5 x 509

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 10172 and 10180 is 4