GCF and LCM Calculator Logo

What is the Greatest Common Factor of 74424 and 74433?

Greatest common factor (GCF) of 74424 and 74433 is 3.

GCF(74424,74433) = 3

We will now calculate the prime factors of 74424 and 74433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74424 and 74433.

GCF Calculator and
and

How to find the GCF of 74424 and 74433?

We will first find the prime factorization of 74424 and 74433. After we will calculate the factors of 74424 and 74433 and find the biggest common factor number .

Step-1: Prime Factorization of 74424

Prime factors of 74424 are 2, 3, 7, 443. Prime factorization of 74424 in exponential form is:

74424 = 23 × 31 × 71 × 4431

Step-2: Prime Factorization of 74433

Prime factors of 74433 are 3, 43, 577. Prime factorization of 74433 in exponential form is:

74433 = 31 × 431 × 5771

Step-3: Factors of 74424

List of positive integer factors of 74424 that divides 74424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 443, 886, 1329, 1772, 2658, 3101, 3544, 5316, 6202, 9303, 10632, 12404, 18606, 24808, 37212

Step-4: Factors of 74433

List of positive integer factors of 74433 that divides 74424 without a remainder.

1, 3, 43, 129, 577, 1731, 24811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74424 and 74433. The biggest common factor number is the GCF number.
So the greatest common factor 74424 and 74433 is 3.

Also check out the Least Common Multiple of 74424 and 74433