What is the Greatest Common Factor of 52109 and 52116?

Greatest common factor (GCF) of 52109 and 52116 is 1.

GCF(52109,52116) = 1

We will now calculate the prime factors of 52109 and 52116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52109 and 52116.

How to find the GCF of 52109 and 52116?

We will first find the prime factorization of 52109 and 52116. After we will calculate the factors of 52109 and 52116 and find the biggest common factor number .

Step-1: Prime Factorization of 52109

Prime factors of 52109 are 107, 487. Prime factorization of 52109 in exponential form is:

52109 = 107¹ × 487¹

Step-2: Prime Factorization of 52116

Prime factors of 52116 are 2, 3, 43, 101. Prime factorization of 52116 in exponential form is:

52116 = 2² × 3¹ × 43¹ × 101¹

Step-3: Factors of 52109

List of positive integer factors of 52109 that divides 52109 without a remainder.

1, 107, 487

Step-4: Factors of 52116

List of positive integer factors of 52116 that divides 52109 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 101, 129, 172, 202, 258, 303, 404, 516, 606, 1212, 4343, 8686, 13029, 17372, 26058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52109 and 52116. The biggest common factor number is the GCF number.
So the greatest common factor 52109 and 52116 is 1.

Also check out the Least Common Multiple of 52109 and 52116