What is the Greatest Common Factor of 70900 and 70913?

Greatest common factor (GCF) of 70900 and 70913 is 1.

GCF(70900,70913) = 1

We will now calculate the prime factors of 70900 and 70913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70900 and 70913.

How to find the GCF of 70900 and 70913?

We will first find the prime factorization of 70900 and 70913. After we will calculate the factors of 70900 and 70913 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 70913

Prime factors of 70913 are 70913. Prime factorization of 70913 in exponential form is:

70913 = 70913¹

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 70913

List of positive integer factors of 70913 that divides 70900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70900 and 70913. The biggest common factor number is the GCF number.
So the greatest common factor 70900 and 70913 is 1.

Also check out the Least Common Multiple of 70900 and 70913