What is the Greatest Common Factor of 73424 and 73437?

Greatest common factor (GCF) of 73424 and 73437 is 13.

GCF(73424,73437) = 13

We will now calculate the prime factors of 73424 and 73437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73424 and 73437.

How to find the GCF of 73424 and 73437?

We will first find the prime factorization of 73424 and 73437. After we will calculate the factors of 73424 and 73437 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 73437

Prime factors of 73437 are 3, 7, 13, 269. Prime factorization of 73437 in exponential form is:

73437 = 3¹ × 7¹ × 13¹ × 269¹

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 73437

List of positive integer factors of 73437 that divides 73424 without a remainder.

1, 3, 7, 13, 21, 39, 91, 269, 273, 807, 1883, 3497, 5649, 10491, 24479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73424 and 73437. The biggest common factor number is the GCF number.
So the greatest common factor 73424 and 73437 is 13.

Also check out the Least Common Multiple of 73424 and 73437