What is the Greatest Common Factor of 78374 and 78382?

Greatest common factor (GCF) of 78374 and 78382 is 2.

GCF(78374,78382) = 2

We will now calculate the prime factors of 78374 and 78382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78374 and 78382.

How to find the GCF of 78374 and 78382?

We will first find the prime factorization of 78374 and 78382. After we will calculate the factors of 78374 and 78382 and find the biggest common factor number .

Step-1: Prime Factorization of 78374

Prime factors of 78374 are 2, 149, 263. Prime factorization of 78374 in exponential form is:

78374 = 2¹ × 149¹ × 263¹

Step-2: Prime Factorization of 78382

Prime factors of 78382 are 2, 39191. Prime factorization of 78382 in exponential form is:

78382 = 2¹ × 39191¹

Step-3: Factors of 78374

List of positive integer factors of 78374 that divides 78374 without a remainder.

1, 2, 149, 263, 298, 526, 39187

Step-4: Factors of 78382

List of positive integer factors of 78382 that divides 78374 without a remainder.

1, 2, 39191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78374 and 78382. The biggest common factor number is the GCF number.
So the greatest common factor 78374 and 78382 is 2.

Also check out the Least Common Multiple of 78374 and 78382