What is the Greatest Common Factor of 71332 and 71344?

Greatest common factor (GCF) of 71332 and 71344 is 4.

GCF(71332,71344) = 4

We will now calculate the prime factors of 71332 and 71344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71332 and 71344.

How to find the GCF of 71332 and 71344?

We will first find the prime factorization of 71332 and 71344. After we will calculate the factors of 71332 and 71344 and find the biggest common factor number .

Step-1: Prime Factorization of 71332

Prime factors of 71332 are 2, 17, 1049. Prime factorization of 71332 in exponential form is:

71332 = 2² × 17¹ × 1049¹

Step-2: 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-3: Factors of 71332

List of positive integer factors of 71332 that divides 71332 without a remainder.

1, 2, 4, 17, 34, 68, 1049, 2098, 4196, 17833, 35666

Step-4: Factors of 71344

List of positive integer factors of 71344 that divides 71332 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71332 and 71344. The biggest common factor number is the GCF number.
So the greatest common factor 71332 and 71344 is 4.

Also check out the Least Common Multiple of 71332 and 71344