What is the Greatest Common Factor of 69390 and 69400?

Greatest common factor (GCF) of 69390 and 69400 is 10.

GCF(69390,69400) = 10

We will now calculate the prime factors of 69390 and 69400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69390 and 69400.

How to find the GCF of 69390 and 69400?

We will first find the prime factorization of 69390 and 69400. After we will calculate the factors of 69390 and 69400 and find the biggest common factor number .

Step-1: Prime Factorization of 69390

Prime factors of 69390 are 2, 3, 5, 257. Prime factorization of 69390 in exponential form is:

69390 = 2¹ × 3³ × 5¹ × 257¹

Step-2: 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-3: Factors of 69390

List of positive integer factors of 69390 that divides 69390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 257, 270, 514, 771, 1285, 1542, 2313, 2570, 3855, 4626, 6939, 7710, 11565, 13878, 23130, 34695

Step-4: Factors of 69400

List of positive integer factors of 69400 that divides 69390 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69390 and 69400. The biggest common factor number is the GCF number.
So the greatest common factor 69390 and 69400 is 10.

Also check out the Least Common Multiple of 69390 and 69400