What is the Greatest Common Factor of 74423 and 74442?

Greatest common factor (GCF) of 74423 and 74442 is 19.

GCF(74423,74442) = 19

We will now calculate the prime factors of 74423 and 74442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74423 and 74442.

How to find the GCF of 74423 and 74442?

We will first find the prime factorization of 74423 and 74442. After we will calculate the factors of 74423 and 74442 and find the biggest common factor number .

Step-1: Prime Factorization of 74423

Prime factors of 74423 are 19, 3917. Prime factorization of 74423 in exponential form is:

74423 = 19¹ × 3917¹

Step-2: Prime Factorization of 74442

Prime factors of 74442 are 2, 3, 19, 653. Prime factorization of 74442 in exponential form is:

74442 = 2¹ × 3¹ × 19¹ × 653¹

Step-3: Factors of 74423

List of positive integer factors of 74423 that divides 74423 without a remainder.

1, 19, 3917

Step-4: Factors of 74442

List of positive integer factors of 74442 that divides 74423 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 653, 1306, 1959, 3918, 12407, 24814, 37221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74423 and 74442. The biggest common factor number is the GCF number.
So the greatest common factor 74423 and 74442 is 19.

Also check out the Least Common Multiple of 74423 and 74442