Greatest Common Factor of 10077 and 10084

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 10077, 10084 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10077 and 10084 is 1.

GCF(10077,10084) = 1

GCF of 10077 and 10084

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

GCF of:
and

Greatest Common Factor of 10077 and 10084

GCF of 10077 and 10084 is 1

Prime Factorization of 10077


3 10077
3359 3359
1

Prime factors of 10077 are 3,3359. Prime factorization of 10077 in exponential form is:

10077 = 31×33591

Prime Factorization of 10084


2 10084
2 5042
2521 2521
1

Prime factors of 10084 are 2,2521. Prime factorization of 10084 in exponential form is:

10084 = 22×25211

∴ So by taking common prime factors GCF of 10077 and 10084 is 1

Greatest Common Factor of 10077 and 10084 by matching factors method

Factors of 10077

List of positive integer factors of 10077 that divides 10077 without a remainder.

1,3,3359,10077

Factors of 10084

List of positive integer factors of 10084 that divides 10084 without a remainder.

1,2,4,2521,5042,10084

Greatest Common Factor

We found the factors and prime factorization of 10077 and 10084. The biggest common factor number is the GCF number.
So the greatest common factor 10077 and 10084 is 1.

Also check out the Least Common Multiple of 10077 and 10084

Properties of GCF 10077 and 10084

(i) The GCF of 10077 and 10084 is associative

GCF of 10077 and 10084 = GCF of 10084 and 10077

Related Greatest Common Factor of 10077

Related Greatest Common Factor of 10084

Frequently Asked Questions on GCF of 10077 and 10084

1. What is the GCF of 10077 and 10084?

Answer: GCF of 10077 and 10084 is 1.

2. What are the Factors of 10077?

Answer: Factors of 10077 are 1, 3, 3359, 10077. There are 4 integers that are factors of 10077. The greatest factor of 10077 is 10077.

3. What are the Factors of 10084?

Answer: Factors of 10084 are 1, 2, 4, 2521, 5042, 10084. There are 6 integers that are factors of 10084. The greatest factor of 10084 is 10084.

4. How to Find the GCF of 10077 and 10084?

Answer:

Greatest Common Factor of 10077 and 10084 = 1

Step 1: Find the prime factorization of 10077

10077 = 3 x 3359

Step 2: Find the prime factorization of 10084

10084 = 2 x 2 x 2521

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 10077 and 10084 is 1