What is the Greatest Common Factor of 35105 and 35110?

Greatest common factor (GCF) of 35105 and 35110 is 5.

GCF(35105,35110) = 5

We will now calculate the prime factors of 35105 and 35110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35105 and 35110.

How to find the GCF of 35105 and 35110?

We will first find the prime factorization of 35105 and 35110. After we will calculate the factors of 35105 and 35110 and find the biggest common factor number .

Step-1: Prime Factorization of 35105

Prime factors of 35105 are 5, 7, 17, 59. Prime factorization of 35105 in exponential form is:

35105 = 5¹ × 7¹ × 17¹ × 59¹

Step-2: Prime Factorization of 35110

Prime factors of 35110 are 2, 5, 3511. Prime factorization of 35110 in exponential form is:

35110 = 2¹ × 5¹ × 3511¹

Step-3: Factors of 35105

List of positive integer factors of 35105 that divides 35105 without a remainder.

1, 5, 7, 17, 35, 59, 85, 119, 295, 413, 595, 1003, 2065, 5015, 7021

Step-4: Factors of 35110

List of positive integer factors of 35110 that divides 35105 without a remainder.

1, 2, 5, 10, 3511, 7022, 17555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35105 and 35110. The biggest common factor number is the GCF number.
So the greatest common factor 35105 and 35110 is 5.

Also check out the Least Common Multiple of 35105 and 35110