Greatest Common Factor of 10100 and 10104

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 10100, 10104 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10100 and 10104 is 4.

GCF(10100,10104) = 4

GCF of 10100 and 10104

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

GCF of:
and

Greatest Common Factor of 10100 and 10104

GCF of 10100 and 10104 is 4

Prime Factorization of 10100


2 10100
2 5050
5 2525
5 505
101 101
1

Prime factors of 10100 are 2,5,101. Prime factorization of 10100 in exponential form is:

10100 = 22×52×1011

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

∴ So by taking common prime factors GCF of 10100 and 10104 is 4

Greatest Common Factor of 10100 and 10104 by matching factors method

Factors of 10100

List of positive integer factors of 10100 that divides 10100 without a remainder.

1,2,4,5,10,20,25,50,100,101,202,404,505,1010,2020,2525,5050,10100

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

Greatest Common Factor

We found the factors and prime factorization of 10100 and 10104. The biggest common factor number is the GCF number.
So the greatest common factor 10100 and 10104 is 4.

Also check out the Least Common Multiple of 10100 and 10104

Properties of GCF 10100 and 10104

(i) The GCF of 10100 and 10104 is associative

GCF of 10100 and 10104 = GCF of 10104 and 10100

Related Greatest Common Factor of 10100

Related Greatest Common Factor of 10104

Frequently Asked Questions on GCF of 10100 and 10104

1. What is the GCF of 10100 and 10104?

Answer: GCF of 10100 and 10104 is 4.

2. What are the Factors of 10100?

Answer: Factors of 10100 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050, 10100. There are 18 integers that are factors of 10100. The greatest factor of 10100 is 10100.

3. 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.

4. How to Find the GCF of 10100 and 10104?

Answer:

Greatest Common Factor of 10100 and 10104 = 4

Step 1: Find the prime factorization of 10100

10100 = 2 x 2 x 5 x 5 x 101

Step 2: Find the prime factorization of 10104

10104 = 2 x 2 x 2 x 3 x 421

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 10100 and 10104 is 4