What is the Greatest Common Factor of 73424 and 73444?

Greatest common factor (GCF) of 73424 and 73444 is 4.

GCF(73424,73444) = 4

We will now calculate the prime factors of 73424 and 73444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73424 and 73444.

How to find the GCF of 73424 and 73444?

We will first find the prime factorization of 73424 and 73444. After we will calculate the factors of 73424 and 73444 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 73444

Prime factors of 73444 are 2, 7, 43, 61. Prime factorization of 73444 in exponential form is:

73444 = 2² × 7¹ × 43¹ × 61¹

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 73444

List of positive integer factors of 73444 that divides 73424 without a remainder.

1, 2, 4, 7, 14, 28, 43, 61, 86, 122, 172, 244, 301, 427, 602, 854, 1204, 1708, 2623, 5246, 10492, 18361, 36722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73424 and 73444. The biggest common factor number is the GCF number.
So the greatest common factor 73424 and 73444 is 4.

Also check out the Least Common Multiple of 73424 and 73444