What is the Greatest Common Factor of 70900 and 70905?

Greatest common factor (GCF) of 70900 and 70905 is 5.

GCF(70900,70905) = 5

We will now calculate the prime factors of 70900 and 70905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70900 and 70905.

How to find the GCF of 70900 and 70905?

We will first find the prime factorization of 70900 and 70905. After we will calculate the factors of 70900 and 70905 and find the biggest common factor number .

Step-1: Prime Factorization of 70900

Prime factors of 70900 are 2, 5, 709. Prime factorization of 70900 in exponential form is:

70900 = 2² × 5² × 709¹

Step-2: Prime Factorization of 70905

Prime factors of 70905 are 3, 5, 29, 163. Prime factorization of 70905 in exponential form is:

70905 = 3¹ × 5¹ × 29¹ × 163¹

Step-3: Factors of 70900

List of positive integer factors of 70900 that divides 70900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 709, 1418, 2836, 3545, 7090, 14180, 17725, 35450

Step-4: Factors of 70905

List of positive integer factors of 70905 that divides 70900 without a remainder.

1, 3, 5, 15, 29, 87, 145, 163, 435, 489, 815, 2445, 4727, 14181, 23635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70900 and 70905. The biggest common factor number is the GCF number.
So the greatest common factor 70900 and 70905 is 5.

Also check out the Least Common Multiple of 70900 and 70905