What is the Greatest Common Factor of 52105 and 52123?

Greatest common factor (GCF) of 52105 and 52123 is 1.

GCF(52105,52123) = 1

We will now calculate the prime factors of 52105 and 52123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52105 and 52123.

How to find the GCF of 52105 and 52123?

We will first find the prime factorization of 52105 and 52123. After we will calculate the factors of 52105 and 52123 and find the biggest common factor number .

Step-1: Prime Factorization of 52105

Prime factors of 52105 are 5, 17, 613. Prime factorization of 52105 in exponential form is:

52105 = 5¹ × 17¹ × 613¹

Step-2: Prime Factorization of 52123

Prime factors of 52123 are 47, 1109. Prime factorization of 52123 in exponential form is:

52123 = 47¹ × 1109¹

Step-3: Factors of 52105

List of positive integer factors of 52105 that divides 52105 without a remainder.

1, 5, 17, 85, 613, 3065, 10421

Step-4: Factors of 52123

List of positive integer factors of 52123 that divides 52105 without a remainder.

1, 47, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52105 and 52123. The biggest common factor number is the GCF number.
So the greatest common factor 52105 and 52123 is 1.

Also check out the Least Common Multiple of 52105 and 52123