What is the Greatest Common Factor of 69105 and 69122?

Greatest common factor (GCF) of 69105 and 69122 is 17.

GCF(69105,69122) = 17

We will now calculate the prime factors of 69105 and 69122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69105 and 69122.

How to find the GCF of 69105 and 69122?

We will first find the prime factorization of 69105 and 69122. After we will calculate the factors of 69105 and 69122 and find the biggest common factor number .

Step-1: Prime Factorization of 69105

Prime factors of 69105 are 3, 5, 17, 271. Prime factorization of 69105 in exponential form is:

69105 = 3¹ × 5¹ × 17¹ × 271¹

Step-2: Prime Factorization of 69122

Prime factors of 69122 are 2, 17, 19, 107. Prime factorization of 69122 in exponential form is:

69122 = 2¹ × 17¹ × 19¹ × 107¹

Step-3: Factors of 69105

List of positive integer factors of 69105 that divides 69105 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 271, 813, 1355, 4065, 4607, 13821, 23035

Step-4: Factors of 69122

List of positive integer factors of 69122 that divides 69105 without a remainder.

1, 2, 17, 19, 34, 38, 107, 214, 323, 646, 1819, 2033, 3638, 4066, 34561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69105 and 69122. The biggest common factor number is the GCF number.
So the greatest common factor 69105 and 69122 is 17.

Also check out the Least Common Multiple of 69105 and 69122