What is the Greatest Common Factor of 71344 and 71364?

Greatest common factor (GCF) of 71344 and 71364 is 4.

GCF(71344,71364) = 4

We will now calculate the prime factors of 71344 and 71364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71344 and 71364.

How to find the GCF of 71344 and 71364?

We will first find the prime factorization of 71344 and 71364. After we will calculate the factors of 71344 and 71364 and find the biggest common factor number .

Step-1: Prime Factorization of 71344

Prime factors of 71344 are 2, 7, 13. Prime factorization of 71344 in exponential form is:

71344 = 2⁴ × 7³ × 13¹

Step-2: 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-3: Factors of 71344

List of positive integer factors of 71344 that divides 71344 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 343, 364, 392, 637, 686, 728, 784, 1274, 1372, 1456, 2548, 2744, 4459, 5096, 5488, 8918, 10192, 17836, 35672

Step-4: Factors of 71364

List of positive integer factors of 71364 that divides 71344 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71344 and 71364. The biggest common factor number is the GCF number.
So the greatest common factor 71344 and 71364 is 4.

Also check out the Least Common Multiple of 71344 and 71364