Greatest Common Factor of 10108 and 10112

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 10108, 10112 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10108 and 10112 is 4.

GCF(10108,10112) = 4

GCF of 10108 and 10112

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

GCF of:
and

Greatest Common Factor of 10108 and 10112

GCF of 10108 and 10112 is 4

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

Prime Factorization of 10112


2 10112
2 5056
2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 10112 are 2,79. Prime factorization of 10112 in exponential form is:

10112 = 27×791

∴ So by taking common prime factors GCF of 10108 and 10112 is 4

Greatest Common Factor of 10108 and 10112 by matching factors method

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

Factors of 10112

List of positive integer factors of 10112 that divides 10112 without a remainder.

1,2,4,8,16,32,64,79,128,158,316,632,1264,2528,5056,10112

Greatest Common Factor

We found the factors and prime factorization of 10108 and 10112. The biggest common factor number is the GCF number.
So the greatest common factor 10108 and 10112 is 4.

Also check out the Least Common Multiple of 10108 and 10112

Properties of GCF 10108 and 10112

(i) The GCF of 10108 and 10112 is associative

GCF of 10108 and 10112 = GCF of 10112 and 10108

Related Greatest Common Factor of 10108

Related Greatest Common Factor of 10112

Frequently Asked Questions on GCF of 10108 and 10112

1. What is the GCF of 10108 and 10112?

Answer: GCF of 10108 and 10112 is 4.

2. 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.

3. What are the Factors of 10112?

Answer: Factors of 10112 are 1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 316, 632, 1264, 2528, 5056, 10112. There are 16 integers that are factors of 10112. The greatest factor of 10112 is 10112.

4. How to Find the GCF of 10108 and 10112?

Answer:

Greatest Common Factor of 10108 and 10112 = 4

Step 1: Find the prime factorization of 10108

10108 = 2 x 2 x 7 x 19 x 19

Step 2: Find the prime factorization of 10112

10112 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 79

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 10108 and 10112 is 4