What is the Greatest Common Factor of 71364 and 71378?

Greatest common factor (GCF) of 71364 and 71378 is 2.

GCF(71364,71378) = 2

We will now calculate the prime factors of 71364 and 71378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71364 and 71378.

How to find the GCF of 71364 and 71378?

We will first find the prime factorization of 71364 and 71378. After we will calculate the factors of 71364 and 71378 and find the biggest common factor number .

Step-1: Prime Factorization of 71364

Prime factors of 71364 are 2, 3, 19, 313. Prime factorization of 71364 in exponential form is:

71364 = 2² × 3¹ × 19¹ × 313¹

Step-2: Prime Factorization of 71378

Prime factors of 71378 are 2, 89, 401. Prime factorization of 71378 in exponential form is:

71378 = 2¹ × 89¹ × 401¹

Step-3: Factors of 71364

List of positive integer factors of 71364 that divides 71364 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 313, 626, 939, 1252, 1878, 3756, 5947, 11894, 17841, 23788, 35682

Step-4: Factors of 71378

List of positive integer factors of 71378 that divides 71364 without a remainder.

1, 2, 89, 178, 401, 802, 35689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71364 and 71378. The biggest common factor number is the GCF number.
So the greatest common factor 71364 and 71378 is 2.

Also check out the Least Common Multiple of 71364 and 71378