What is the Greatest Common Factor of 70395 and 70406?

Greatest common factor (GCF) of 70395 and 70406 is 1.

GCF(70395,70406) = 1

We will now calculate the prime factors of 70395 and 70406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70395 and 70406.

How to find the GCF of 70395 and 70406?

We will first find the prime factorization of 70395 and 70406. After we will calculate the factors of 70395 and 70406 and find the biggest common factor number .

Step-1: Prime Factorization of 70395

Prime factors of 70395 are 3, 5, 13, 19. Prime factorization of 70395 in exponential form is:

70395 = 3¹ × 5¹ × 13¹ × 19²

Step-2: Prime Factorization of 70406

Prime factors of 70406 are 2, 7, 47, 107. Prime factorization of 70406 in exponential form is:

70406 = 2¹ × 7¹ × 47¹ × 107¹

Step-3: Factors of 70395

List of positive integer factors of 70395 that divides 70395 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 361, 741, 1083, 1235, 1805, 3705, 4693, 5415, 14079, 23465

Step-4: Factors of 70406

List of positive integer factors of 70406 that divides 70395 without a remainder.

1, 2, 7, 14, 47, 94, 107, 214, 329, 658, 749, 1498, 5029, 10058, 35203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70395 and 70406. The biggest common factor number is the GCF number.
So the greatest common factor 70395 and 70406 is 1.

Also check out the Least Common Multiple of 70395 and 70406