Greatest Common Factor of 10180 and 10184

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 10180, 10184 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10180 and 10184 is 4.

GCF(10180,10184) = 4

GCF of 10180 and 10184

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

GCF of:
and

Greatest Common Factor of 10180 and 10184

GCF of 10180 and 10184 is 4

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

Prime Factorization of 10184


2 10184
2 5092
2 2546
19 1273
67 67
1

Prime factors of 10184 are 2,19,67. Prime factorization of 10184 in exponential form is:

10184 = 23×191×671

∴ So by taking common prime factors GCF of 10180 and 10184 is 4

Greatest Common Factor of 10180 and 10184 by matching factors method

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

Factors of 10184

List of positive integer factors of 10184 that divides 10184 without a remainder.

1,2,4,8,19,38,67,76,134,152,268,536,1273,2546,5092,10184

Greatest Common Factor

We found the factors and prime factorization of 10180 and 10184. The biggest common factor number is the GCF number.
So the greatest common factor 10180 and 10184 is 4.

Also check out the Least Common Multiple of 10180 and 10184

Properties of GCF 10180 and 10184

(i) The GCF of 10180 and 10184 is associative

GCF of 10180 and 10184 = GCF of 10184 and 10180

Related Greatest Common Factor of 10180

Related Greatest Common Factor of 10184

Frequently Asked Questions on GCF of 10180 and 10184

1. What is the GCF of 10180 and 10184?

Answer: GCF of 10180 and 10184 is 4.

2. 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.

3. What are the Factors of 10184?

Answer: Factors of 10184 are 1, 2, 4, 8, 19, 38, 67, 76, 134, 152, 268, 536, 1273, 2546, 5092, 10184. There are 16 integers that are factors of 10184. The greatest factor of 10184 is 10184.

4. How to Find the GCF of 10180 and 10184?

Answer:

Greatest Common Factor of 10180 and 10184 = 4

Step 1: Find the prime factorization of 10180

10180 = 2 x 2 x 5 x 509

Step 2: Find the prime factorization of 10184

10184 = 2 x 2 x 2 x 19 x 67

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 10180 and 10184 is 4