What is the Greatest Common Factor of 73406 and 73424?

Greatest common factor (GCF) of 73406 and 73424 is 2.

GCF(73406,73424) = 2

We will now calculate the prime factors of 73406 and 73424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73406 and 73424.

How to find the GCF of 73406 and 73424?

We will first find the prime factorization of 73406 and 73424. After we will calculate the factors of 73406 and 73424 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 73424

Prime factors of 73424 are 2, 13, 353. Prime factorization of 73424 in exponential form is:

73424 = 2⁴ × 13¹ × 353¹

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 73424

List of positive integer factors of 73424 that divides 73406 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 353, 706, 1412, 2824, 4589, 5648, 9178, 18356, 36712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73406 and 73424. The biggest common factor number is the GCF number.
So the greatest common factor 73406 and 73424 is 2.

Also check out the Least Common Multiple of 73406 and 73424