What is the Greatest Common Factor of 70105 and 70115?

Greatest common factor (GCF) of 70105 and 70115 is 5.

GCF(70105,70115) = 5

We will now calculate the prime factors of 70105 and 70115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70105 and 70115.

How to find the GCF of 70105 and 70115?

We will first find the prime factorization of 70105 and 70115. After we will calculate the factors of 70105 and 70115 and find the biggest common factor number .

Step-1: Prime Factorization of 70105

Prime factors of 70105 are 5, 7, 2003. Prime factorization of 70105 in exponential form is:

70105 = 5¹ × 7¹ × 2003¹

Step-2: Prime Factorization of 70115

Prime factors of 70115 are 5, 37, 379. Prime factorization of 70115 in exponential form is:

70115 = 5¹ × 37¹ × 379¹

Step-3: Factors of 70105

List of positive integer factors of 70105 that divides 70105 without a remainder.

1, 5, 7, 35, 2003, 10015, 14021

Step-4: Factors of 70115

List of positive integer factors of 70115 that divides 70105 without a remainder.

1, 5, 37, 185, 379, 1895, 14023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70105 and 70115. The biggest common factor number is the GCF number.
So the greatest common factor 70105 and 70115 is 5.

Also check out the Least Common Multiple of 70105 and 70115