What is the Greatest Common Factor of 73406 and 73423?

Greatest common factor (GCF) of 73406 and 73423 is 17.

GCF(73406,73423) = 17

We will now calculate the prime factors of 73406 and 73423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73406 and 73423.

How to find the GCF of 73406 and 73423?

We will first find the prime factorization of 73406 and 73423. After we will calculate the factors of 73406 and 73423 and find the biggest common factor number .

Step-1: Prime Factorization of 73406

Prime factors of 73406 are 2, 17, 127. Prime factorization of 73406 in exponential form is:

73406 = 2¹ × 17² × 127¹

Step-2: Prime Factorization of 73423

Prime factors of 73423 are 7, 17, 617. Prime factorization of 73423 in exponential form is:

73423 = 7¹ × 17¹ × 617¹

Step-3: Factors of 73406

List of positive integer factors of 73406 that divides 73406 without a remainder.

1, 2, 17, 34, 127, 254, 289, 578, 2159, 4318, 36703

Step-4: Factors of 73423

List of positive integer factors of 73423 that divides 73406 without a remainder.

1, 7, 17, 119, 617, 4319, 10489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73406 and 73423. The biggest common factor number is the GCF number.
So the greatest common factor 73406 and 73423 is 17.

Also check out the Least Common Multiple of 73406 and 73423