What is the Greatest Common Factor of 35105 and 35115?

Greatest common factor (GCF) of 35105 and 35115 is 5.

GCF(35105,35115) = 5

We will now calculate the prime factors of 35105 and 35115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35105 and 35115.

How to find the GCF of 35105 and 35115?

We will first find the prime factorization of 35105 and 35115. After we will calculate the factors of 35105 and 35115 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 35115

Prime factors of 35115 are 3, 5, 2341. Prime factorization of 35115 in exponential form is:

35115 = 3¹ × 5¹ × 2341¹

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 35115

List of positive integer factors of 35115 that divides 35105 without a remainder.

1, 3, 5, 15, 2341, 7023, 11705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35105 and 35115. The biggest common factor number is the GCF number.
So the greatest common factor 35105 and 35115 is 5.

Also check out the Least Common Multiple of 35105 and 35115