Greatest Common Factor of 10102 and 10108

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 10102, 10108 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10102 and 10108 is 2.

GCF(10102,10108) = 2

GCF of 10102 and 10108

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

GCF of:
and

Greatest Common Factor of 10102 and 10108

GCF of 10102 and 10108 is 2

Prime Factorization of 10102


2 10102
5051 5051
1

Prime factors of 10102 are 2,5051. Prime factorization of 10102 in exponential form is:

10102 = 21×50511

Prime Factorization of 10108


2 10108
2 5054
7 2527
19 361
19 19
1

Prime factors of 10108 are 2,7,19. Prime factorization of 10108 in exponential form is:

10108 = 22×71×192

∴ So by taking common prime factors GCF of 10102 and 10108 is 2

Greatest Common Factor of 10102 and 10108 by matching factors method

Factors of 10102

List of positive integer factors of 10102 that divides 10102 without a remainder.

1,2,5051,10102

Factors of 10108

List of positive integer factors of 10108 that divides 10108 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,361,532,722,1444,2527,5054,10108

Greatest Common Factor

We found the factors and prime factorization of 10102 and 10108. The biggest common factor number is the GCF number.
So the greatest common factor 10102 and 10108 is 2.

Also check out the Least Common Multiple of 10102 and 10108

Properties of GCF 10102 and 10108

(i) The GCF of 10102 and 10108 is associative

GCF of 10102 and 10108 = GCF of 10108 and 10102

Related Greatest Common Factor of 10102

Related Greatest Common Factor of 10108

Frequently Asked Questions on GCF of 10102 and 10108

1. What is the GCF of 10102 and 10108?

Answer: GCF of 10102 and 10108 is 2.

2. What are the Factors of 10102?

Answer: Factors of 10102 are 1, 2, 5051, 10102. There are 4 integers that are factors of 10102. The greatest factor of 10102 is 10102.

3. What are the Factors of 10108?

Answer: Factors of 10108 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 361, 532, 722, 1444, 2527, 5054, 10108. There are 18 integers that are factors of 10108. The greatest factor of 10108 is 10108.

4. How to Find the GCF of 10102 and 10108?

Answer:

Greatest Common Factor of 10102 and 10108 = 2

Step 1: Find the prime factorization of 10102

10102 = 2 x 5051

Step 2: Find the prime factorization of 10108

10108 = 2 x 2 x 7 x 19 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10102 and 10108 is 2