What is the Greatest Common Factor of 71364 and 71376?

Greatest common factor (GCF) of 71364 and 71376 is 12.

GCF(71364,71376) = 12

We will now calculate the prime factors of 71364 and 71376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71364 and 71376.

How to find the GCF of 71364 and 71376?

We will first find the prime factorization of 71364 and 71376. After we will calculate the factors of 71364 and 71376 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 71376

Prime factors of 71376 are 2, 3, 1487. Prime factorization of 71376 in exponential form is:

71376 = 2⁴ × 3¹ × 1487¹

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 71376

List of positive integer factors of 71376 that divides 71364 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1487, 2974, 4461, 5948, 8922, 11896, 17844, 23792, 35688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71364 and 71376. The biggest common factor number is the GCF number.
So the greatest common factor 71364 and 71376 is 12.

Also check out the Least Common Multiple of 71364 and 71376