What is the Greatest Common Factor of 73809 and 73814?

Greatest common factor (GCF) of 73809 and 73814 is 1.

GCF(73809,73814) = 1

We will now calculate the prime factors of 73809 and 73814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73809 and 73814.

How to find the GCF of 73809 and 73814?

We will first find the prime factorization of 73809 and 73814. After we will calculate the factors of 73809 and 73814 and find the biggest common factor number .

Step-1: Prime Factorization of 73809

Prime factors of 73809 are 3, 59, 139. Prime factorization of 73809 in exponential form is:

73809 = 3² × 59¹ × 139¹

Step-2: Prime Factorization of 73814

Prime factors of 73814 are 2, 13, 17, 167. Prime factorization of 73814 in exponential form is:

73814 = 2¹ × 13¹ × 17¹ × 167¹

Step-3: Factors of 73809

List of positive integer factors of 73809 that divides 73809 without a remainder.

1, 3, 9, 59, 139, 177, 417, 531, 1251, 8201, 24603

Step-4: Factors of 73814

List of positive integer factors of 73814 that divides 73809 without a remainder.

1, 2, 13, 17, 26, 34, 167, 221, 334, 442, 2171, 2839, 4342, 5678, 36907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73809 and 73814. The biggest common factor number is the GCF number.
So the greatest common factor 73809 and 73814 is 1.

Also check out the Least Common Multiple of 73809 and 73814