Greatest Common Factor of 10074 and 10081

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 10074, 10081 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10074 and 10081 is 1.

GCF(10074,10081) = 1

GCF of 10074 and 10081

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

GCF of:
and

Greatest Common Factor of 10074 and 10081

GCF of 10074 and 10081 is 1

Prime Factorization of 10074


2 10074
3 5037
23 1679
73 73
1

Prime factors of 10074 are 2,3,23,73. Prime factorization of 10074 in exponential form is:

10074 = 21×31×231×731

Prime Factorization of 10081


17 10081
593 593
1

Prime factors of 10081 are 17,593. Prime factorization of 10081 in exponential form is:

10081 = 171×5931

∴ So by taking common prime factors GCF of 10074 and 10081 is 1

Greatest Common Factor of 10074 and 10081 by matching factors method

Factors of 10074

List of positive integer factors of 10074 that divides 10074 without a remainder.

1,2,3,6,23,46,69,73,138,146,219,438,1679,3358,5037,10074

Factors of 10081

List of positive integer factors of 10081 that divides 10081 without a remainder.

1,17,593,10081

Greatest Common Factor

We found the factors and prime factorization of 10074 and 10081. The biggest common factor number is the GCF number.
So the greatest common factor 10074 and 10081 is 1.

Also check out the Least Common Multiple of 10074 and 10081

Properties of GCF 10074 and 10081

(i) The GCF of 10074 and 10081 is associative

GCF of 10074 and 10081 = GCF of 10081 and 10074

Related Greatest Common Factor of 10074

Related Greatest Common Factor of 10081

Frequently Asked Questions on GCF of 10074 and 10081

1. What is the GCF of 10074 and 10081?

Answer: GCF of 10074 and 10081 is 1.

2. What are the Factors of 10074?

Answer: Factors of 10074 are 1, 2, 3, 6, 23, 46, 69, 73, 138, 146, 219, 438, 1679, 3358, 5037, 10074. There are 16 integers that are factors of 10074. The greatest factor of 10074 is 10074.

3. What are the Factors of 10081?

Answer: Factors of 10081 are 1, 17, 593, 10081. There are 4 integers that are factors of 10081. The greatest factor of 10081 is 10081.

4. How to Find the GCF of 10074 and 10081?

Answer:

Greatest Common Factor of 10074 and 10081 = 1

Step 1: Find the prime factorization of 10074

10074 = 2 x 3 x 23 x 73

Step 2: Find the prime factorization of 10081

10081 = 17 x 593

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 10074 and 10081 is 1