What is the Greatest Common Factor of 10101 and 10108?

Greatest common factor (GCF) of 10101 and 10108 is 7.

GCF(10101,10108) = 7

We will now calculate the prime factors of 10101 and 10108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10101 and 10108.

How to find the GCF of 10101 and 10108?

We will first find the prime factorization of 10101 and 10108. After we will calculate the factors of 10101 and 10108 and find the biggest common factor number .

Step-1: Prime Factorization of 10101

Prime factors of 10101 are 3, 7, 13, 37. Prime factorization of 10101 in exponential form is:

10101 = 3¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 10108

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

10108 = 2² × 7¹ × 19²

Step-3: Factors of 10101

List of positive integer factors of 10101 that divides 10101 without a remainder.

1, 3, 7, 13, 21, 37, 39, 91, 111, 259, 273, 481, 777, 1443, 3367

Step-4: Factors of 10108

List of positive integer factors of 10108 that divides 10101 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10101 and 10108. The biggest common factor number is the GCF number.
So the greatest common factor 10101 and 10108 is 7.

Also check out the Least Common Multiple of 10101 and 10108