What is the Greatest Common Factor of 68409 and 68420?

Greatest common factor (GCF) of 68409 and 68420 is 11.

GCF(68409,68420) = 11

We will now calculate the prime factors of 68409 and 68420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68409 and 68420.

How to find the GCF of 68409 and 68420?

We will first find the prime factorization of 68409 and 68420. After we will calculate the factors of 68409 and 68420 and find the biggest common factor number .

Step-1: Prime Factorization of 68409

Prime factors of 68409 are 3, 11, 691. Prime factorization of 68409 in exponential form is:

68409 = 3² × 11¹ × 691¹

Step-2: Prime Factorization of 68420

Prime factors of 68420 are 2, 5, 11, 311. Prime factorization of 68420 in exponential form is:

68420 = 2² × 5¹ × 11¹ × 311¹

Step-3: Factors of 68409

List of positive integer factors of 68409 that divides 68409 without a remainder.

1, 3, 9, 11, 33, 99, 691, 2073, 6219, 7601, 22803

Step-4: Factors of 68420

List of positive integer factors of 68420 that divides 68409 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 311, 622, 1244, 1555, 3110, 3421, 6220, 6842, 13684, 17105, 34210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68409 and 68420. The biggest common factor number is the GCF number.
So the greatest common factor 68409 and 68420 is 11.

Also check out the Least Common Multiple of 68409 and 68420