What is the Greatest Common Factor of 68200 and 68209?

Greatest common factor (GCF) of 68200 and 68209 is 1.

GCF(68200,68209) = 1

We will now calculate the prime factors of 68200 and 68209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68200 and 68209.

How to find the GCF of 68200 and 68209?

We will first find the prime factorization of 68200 and 68209. After we will calculate the factors of 68200 and 68209 and find the biggest common factor number .

Step-1: Prime Factorization of 68200

Prime factors of 68200 are 2, 5, 11, 31. Prime factorization of 68200 in exponential form is:

68200 = 2³ × 5² × 11¹ × 31¹

Step-2: Prime Factorization of 68209

Prime factors of 68209 are 68209. Prime factorization of 68209 in exponential form is:

68209 = 68209¹

Step-3: Factors of 68200

List of positive integer factors of 68200 that divides 68200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 31, 40, 44, 50, 55, 62, 88, 100, 110, 124, 155, 200, 220, 248, 275, 310, 341, 440, 550, 620, 682, 775, 1100, 1240, 1364, 1550, 1705, 2200, 2728, 3100, 3410, 6200, 6820, 8525, 13640, 17050, 34100

Step-4: Factors of 68209

List of positive integer factors of 68209 that divides 68200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68200 and 68209. The biggest common factor number is the GCF number.
So the greatest common factor 68200 and 68209 is 1.

Also check out the Least Common Multiple of 68200 and 68209