What is the Greatest Common Factor of 74388 and 74404?

Greatest common factor (GCF) of 74388 and 74404 is 4.

GCF(74388,74404) = 4

We will now calculate the prime factors of 74388 and 74404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74388 and 74404.

How to find the GCF of 74388 and 74404?

We will first find the prime factorization of 74388 and 74404. After we will calculate the factors of 74388 and 74404 and find the biggest common factor number .

Step-1: Prime Factorization of 74388

Prime factors of 74388 are 2, 3, 6199. Prime factorization of 74388 in exponential form is:

74388 = 2² × 3¹ × 6199¹

Step-2: Prime Factorization of 74404

Prime factors of 74404 are 2, 11, 19, 89. Prime factorization of 74404 in exponential form is:

74404 = 2² × 11¹ × 19¹ × 89¹

Step-3: Factors of 74388

List of positive integer factors of 74388 that divides 74388 without a remainder.

1, 2, 3, 4, 6, 12, 6199, 12398, 18597, 24796, 37194

Step-4: Factors of 74404

List of positive integer factors of 74404 that divides 74388 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 89, 178, 209, 356, 418, 836, 979, 1691, 1958, 3382, 3916, 6764, 18601, 37202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74388 and 74404. The biggest common factor number is the GCF number.
So the greatest common factor 74388 and 74404 is 4.

Also check out the Least Common Multiple of 74388 and 74404