What is the Greatest Common Factor of 52105 and 52122?

Greatest common factor (GCF) of 52105 and 52122 is 17.

GCF(52105,52122) = 17

We will now calculate the prime factors of 52105 and 52122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52105 and 52122.

How to find the GCF of 52105 and 52122?

We will first find the prime factorization of 52105 and 52122. After we will calculate the factors of 52105 and 52122 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 52122

Prime factors of 52122 are 2, 3, 7, 17, 73. Prime factorization of 52122 in exponential form is:

52122 = 2¹ × 3¹ × 7¹ × 17¹ × 73¹

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 52122

List of positive integer factors of 52122 that divides 52105 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 73, 102, 119, 146, 219, 238, 357, 438, 511, 714, 1022, 1241, 1533, 2482, 3066, 3723, 7446, 8687, 17374, 26061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52105 and 52122. The biggest common factor number is the GCF number.
So the greatest common factor 52105 and 52122 is 17.

Also check out the Least Common Multiple of 52105 and 52122