What is the Greatest Common Factor of 71344 and 71360?

Greatest common factor (GCF) of 71344 and 71360 is 16.

GCF(71344,71360) = 16

We will now calculate the prime factors of 71344 and 71360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71344 and 71360.

How to find the GCF of 71344 and 71360?

We will first find the prime factorization of 71344 and 71360. After we will calculate the factors of 71344 and 71360 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 71360

Prime factors of 71360 are 2, 5, 223. Prime factorization of 71360 in exponential form is:

71360 = 2⁶ × 5¹ × 223¹

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 71360

List of positive integer factors of 71360 that divides 71344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 223, 320, 446, 892, 1115, 1784, 2230, 3568, 4460, 7136, 8920, 14272, 17840, 35680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71344 and 71360. The biggest common factor number is the GCF number.
So the greatest common factor 71344 and 71360 is 16.

Also check out the Least Common Multiple of 71344 and 71360