What is the Greatest Common Factor of 70135 and 70155?

Greatest common factor (GCF) of 70135 and 70155 is 5.

GCF(70135,70155) = 5

We will now calculate the prime factors of 70135 and 70155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70135 and 70155.

How to find the GCF of 70135 and 70155?

We will first find the prime factorization of 70135 and 70155. After we will calculate the factors of 70135 and 70155 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 70155

Prime factors of 70155 are 3, 5, 1559. Prime factorization of 70155 in exponential form is:

70155 = 3² × 5¹ × 1559¹

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 70155

List of positive integer factors of 70155 that divides 70135 without a remainder.

1, 3, 5, 9, 15, 45, 1559, 4677, 7795, 14031, 23385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70135 and 70155. The biggest common factor number is the GCF number.
So the greatest common factor 70135 and 70155 is 5.

Also check out the Least Common Multiple of 70135 and 70155