What is the Greatest Common Factor of 73424 and 73442?

Greatest common factor (GCF) of 73424 and 73442 is 2.

GCF(73424,73442) = 2

We will now calculate the prime factors of 73424 and 73442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73424 and 73442.

How to find the GCF of 73424 and 73442?

We will first find the prime factorization of 73424 and 73442. After we will calculate the factors of 73424 and 73442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73442

Prime factors of 73442 are 2, 36721. Prime factorization of 73442 in exponential form is:

73442 = 2¹ × 36721¹

Step-3: Factors of 73424

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

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

Step-4: Factors of 73442

List of positive integer factors of 73442 that divides 73424 without a remainder.

1, 2, 36721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73424 and 73442. The biggest common factor number is the GCF number.
So the greatest common factor 73424 and 73442 is 2.

Also check out the Least Common Multiple of 73424 and 73442