What is the Greatest Common Factor of 74381 and 74390?

Greatest common factor (GCF) of 74381 and 74390 is 1.

GCF(74381,74390) = 1

We will now calculate the prime factors of 74381 and 74390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74381 and 74390.

How to find the GCF of 74381 and 74390?

We will first find the prime factorization of 74381 and 74390. After we will calculate the factors of 74381 and 74390 and find the biggest common factor number .

Step-1: Prime Factorization of 74381

Prime factors of 74381 are 74381. Prime factorization of 74381 in exponential form is:

74381 = 74381¹

Step-2: Prime Factorization of 74390

Prime factors of 74390 are 2, 5, 43, 173. Prime factorization of 74390 in exponential form is:

74390 = 2¹ × 5¹ × 43¹ × 173¹

Step-3: Factors of 74381

List of positive integer factors of 74381 that divides 74381 without a remainder.

Step-4: Factors of 74390

List of positive integer factors of 74390 that divides 74381 without a remainder.

1, 2, 5, 10, 43, 86, 173, 215, 346, 430, 865, 1730, 7439, 14878, 37195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74381 and 74390. The biggest common factor number is the GCF number.
So the greatest common factor 74381 and 74390 is 1.

Also check out the Least Common Multiple of 74381 and 74390