What is the Greatest Common Factor of 69105 and 69110?

Greatest common factor (GCF) of 69105 and 69110 is 5.

GCF(69105,69110) = 5

We will now calculate the prime factors of 69105 and 69110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69105 and 69110.

How to find the GCF of 69105 and 69110?

We will first find the prime factorization of 69105 and 69110. After we will calculate the factors of 69105 and 69110 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 69110

Prime factors of 69110 are 2, 5, 6911. Prime factorization of 69110 in exponential form is:

69110 = 2¹ × 5¹ × 6911¹

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 69110

List of positive integer factors of 69110 that divides 69105 without a remainder.

1, 2, 5, 10, 6911, 13822, 34555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69105 and 69110. The biggest common factor number is the GCF number.
So the greatest common factor 69105 and 69110 is 5.

Also check out the Least Common Multiple of 69105 and 69110