What is the Greatest Common Factor of 70585 and 70600?

Greatest common factor (GCF) of 70585 and 70600 is 5.

GCF(70585,70600) = 5

We will now calculate the prime factors of 70585 and 70600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70585 and 70600.

How to find the GCF of 70585 and 70600?

We will first find the prime factorization of 70585 and 70600. After we will calculate the factors of 70585 and 70600 and find the biggest common factor number .

Step-1: Prime Factorization of 70585

Prime factors of 70585 are 5, 19, 743. Prime factorization of 70585 in exponential form is:

70585 = 5¹ × 19¹ × 743¹

Step-2: Prime Factorization of 70600

Prime factors of 70600 are 2, 5, 353. Prime factorization of 70600 in exponential form is:

70600 = 2³ × 5² × 353¹

Step-3: Factors of 70585

List of positive integer factors of 70585 that divides 70585 without a remainder.

1, 5, 19, 95, 743, 3715, 14117

Step-4: Factors of 70600

List of positive integer factors of 70600 that divides 70585 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 353, 706, 1412, 1765, 2824, 3530, 7060, 8825, 14120, 17650, 35300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70585 and 70600. The biggest common factor number is the GCF number.
So the greatest common factor 70585 and 70600 is 5.

Also check out the Least Common Multiple of 70585 and 70600