What is the Greatest Common Factor of 70135 and 70145?

Greatest common factor (GCF) of 70135 and 70145 is 5.

GCF(70135,70145) = 5

We will now calculate the prime factors of 70135 and 70145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70135 and 70145.

How to find the GCF of 70135 and 70145?

We will first find the prime factorization of 70135 and 70145. After we will calculate the factors of 70135 and 70145 and find the biggest common factor number .

Step-1: Prime Factorization of 70135

Prime factors of 70135 are 5, 13, 83. Prime factorization of 70135 in exponential form is:

70135 = 5¹ × 13² × 83¹

Step-2: Prime Factorization of 70145

Prime factors of 70145 are 5, 14029. Prime factorization of 70145 in exponential form is:

70145 = 5¹ × 14029¹

Step-3: Factors of 70135

List of positive integer factors of 70135 that divides 70135 without a remainder.

1, 5, 13, 65, 83, 169, 415, 845, 1079, 5395, 14027

Step-4: Factors of 70145

List of positive integer factors of 70145 that divides 70135 without a remainder.

1, 5, 14029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70135 and 70145. The biggest common factor number is the GCF number.
So the greatest common factor 70135 and 70145 is 5.

Also check out the Least Common Multiple of 70135 and 70145