What is the Greatest Common Factor of 74390 and 74398?

Greatest common factor (GCF) of 74390 and 74398 is 2.

GCF(74390,74398) = 2

We will now calculate the prime factors of 74390 and 74398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74390 and 74398.

How to find the GCF of 74390 and 74398?

We will first find the prime factorization of 74390 and 74398. After we will calculate the factors of 74390 and 74398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74398

Prime factors of 74398 are 2, 37199. Prime factorization of 74398 in exponential form is:

74398 = 2¹ × 37199¹

Step-3: Factors of 74390

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

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

Step-4: Factors of 74398

List of positive integer factors of 74398 that divides 74390 without a remainder.

1, 2, 37199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74390 and 74398. The biggest common factor number is the GCF number.
So the greatest common factor 74390 and 74398 is 2.

Also check out the Least Common Multiple of 74390 and 74398