What is the Greatest Common Factor of 52101 and 52108?

Greatest common factor (GCF) of 52101 and 52108 is 7.

GCF(52101,52108) = 7

We will now calculate the prime factors of 52101 and 52108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52101 and 52108.

How to find the GCF of 52101 and 52108?

We will first find the prime factorization of 52101 and 52108. After we will calculate the factors of 52101 and 52108 and find the biggest common factor number .

Step-1: Prime Factorization of 52101

Prime factors of 52101 are 3, 7, 827. Prime factorization of 52101 in exponential form is:

52101 = 3² × 7¹ × 827¹

Step-2: Prime Factorization of 52108

Prime factors of 52108 are 2, 7, 1861. Prime factorization of 52108 in exponential form is:

52108 = 2² × 7¹ × 1861¹

Step-3: Factors of 52101

List of positive integer factors of 52101 that divides 52101 without a remainder.

1, 3, 7, 9, 21, 63, 827, 2481, 5789, 7443, 17367

Step-4: Factors of 52108

List of positive integer factors of 52108 that divides 52101 without a remainder.

1, 2, 4, 7, 14, 28, 1861, 3722, 7444, 13027, 26054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52101 and 52108. The biggest common factor number is the GCF number.
So the greatest common factor 52101 and 52108 is 7.

Also check out the Least Common Multiple of 52101 and 52108