What is the Greatest Common Factor of 74378 and 74396?

Greatest common factor (GCF) of 74378 and 74396 is 2.

GCF(74378,74396) = 2

We will now calculate the prime factors of 74378 and 74396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74378 and 74396.

How to find the GCF of 74378 and 74396?

We will first find the prime factorization of 74378 and 74396. After we will calculate the factors of 74378 and 74396 and find the biggest common factor number .

Step-1: Prime Factorization of 74378

Prime factors of 74378 are 2, 37189. Prime factorization of 74378 in exponential form is:

74378 = 2¹ × 37189¹

Step-2: Prime Factorization of 74396

Prime factors of 74396 are 2, 7, 2657. Prime factorization of 74396 in exponential form is:

74396 = 2² × 7¹ × 2657¹

Step-3: Factors of 74378

List of positive integer factors of 74378 that divides 74378 without a remainder.

1, 2, 37189

Step-4: Factors of 74396

List of positive integer factors of 74396 that divides 74378 without a remainder.

1, 2, 4, 7, 14, 28, 2657, 5314, 10628, 18599, 37198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74378 and 74396. The biggest common factor number is the GCF number.
So the greatest common factor 74378 and 74396 is 2.

Also check out the Least Common Multiple of 74378 and 74396