Greatest Common Factor of 10104 and 10109

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 10104, 10109 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10104 and 10109 is 1.

GCF(10104,10109) = 1

GCF of 10104 and 10109

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

GCF of:
and

Greatest Common Factor of 10104 and 10109

GCF of 10104 and 10109 is 1

Prime Factorization of 10104


2 10104
2 5052
2 2526
3 1263
421 421
1

Prime factors of 10104 are 2,3,421. Prime factorization of 10104 in exponential form is:

10104 = 23×31×4211

Prime Factorization of 10109


11 10109
919 919
1

Prime factors of 10109 are 11,919. Prime factorization of 10109 in exponential form is:

10109 = 111×9191

∴ So by taking common prime factors GCF of 10104 and 10109 is 1

Greatest Common Factor of 10104 and 10109 by matching factors method

Factors of 10104

List of positive integer factors of 10104 that divides 10104 without a remainder.

1,2,3,4,6,8,12,24,421,842,1263,1684,2526,3368,5052,10104

Factors of 10109

List of positive integer factors of 10109 that divides 10109 without a remainder.

1,11,919,10109

Greatest Common Factor

We found the factors and prime factorization of 10104 and 10109. The biggest common factor number is the GCF number.
So the greatest common factor 10104 and 10109 is 1.

Also check out the Least Common Multiple of 10104 and 10109

Properties of GCF 10104 and 10109

(i) The GCF of 10104 and 10109 is associative

GCF of 10104 and 10109 = GCF of 10109 and 10104

Related Greatest Common Factor of 10104

Related Greatest Common Factor of 10109

Frequently Asked Questions on GCF of 10104 and 10109

1. What is the GCF of 10104 and 10109?

Answer: GCF of 10104 and 10109 is 1.

2. What are the Factors of 10104?

Answer: Factors of 10104 are 1, 2, 3, 4, 6, 8, 12, 24, 421, 842, 1263, 1684, 2526, 3368, 5052, 10104. There are 16 integers that are factors of 10104. The greatest factor of 10104 is 10104.

3. What are the Factors of 10109?

Answer: Factors of 10109 are 1, 11, 919, 10109. There are 4 integers that are factors of 10109. The greatest factor of 10109 is 10109.

4. How to Find the GCF of 10104 and 10109?

Answer:

Greatest Common Factor of 10104 and 10109 = 1

Step 1: Find the prime factorization of 10104

10104 = 2 x 2 x 2 x 3 x 421

Step 2: Find the prime factorization of 10109

10109 = 11 x 919

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 10104 and 10109 is 1