What is the Greatest Common Factor of 69400 and 69406?

Greatest common factor (GCF) of 69400 and 69406 is 2.

GCF(69400,69406) = 2

We will now calculate the prime factors of 69400 and 69406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69400 and 69406.

How to find the GCF of 69400 and 69406?

We will first find the prime factorization of 69400 and 69406. After we will calculate the factors of 69400 and 69406 and find the biggest common factor number .

Step-1: Prime Factorization of 69400

Prime factors of 69400 are 2, 5, 347. Prime factorization of 69400 in exponential form is:

69400 = 2³ × 5² × 347¹

Step-2: Prime Factorization of 69406

Prime factors of 69406 are 2, 34703. Prime factorization of 69406 in exponential form is:

69406 = 2¹ × 34703¹

Step-3: Factors of 69400

List of positive integer factors of 69400 that divides 69400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 347, 694, 1388, 1735, 2776, 3470, 6940, 8675, 13880, 17350, 34700

Step-4: Factors of 69406

List of positive integer factors of 69406 that divides 69400 without a remainder.

1, 2, 34703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69400 and 69406. The biggest common factor number is the GCF number.
So the greatest common factor 69400 and 69406 is 2.

Also check out the Least Common Multiple of 69400 and 69406