What is the Greatest Common Factor of 71444 and 71456?

Greatest common factor (GCF) of 71444 and 71456 is 4.

GCF(71444,71456) = 4

We will now calculate the prime factors of 71444 and 71456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71444 and 71456.

How to find the GCF of 71444 and 71456?

We will first find the prime factorization of 71444 and 71456. After we will calculate the factors of 71444 and 71456 and find the biggest common factor number .

Step-1: Prime Factorization of 71444

Prime factors of 71444 are 2, 53, 337. Prime factorization of 71444 in exponential form is:

71444 = 2² × 53¹ × 337¹

Step-2: Prime Factorization of 71456

Prime factors of 71456 are 2, 7, 11, 29. Prime factorization of 71456 in exponential form is:

71456 = 2⁵ × 7¹ × 11¹ × 29¹

Step-3: Factors of 71444

List of positive integer factors of 71444 that divides 71444 without a remainder.

1, 2, 4, 53, 106, 212, 337, 674, 1348, 17861, 35722

Step-4: Factors of 71456

List of positive integer factors of 71456 that divides 71444 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 29, 32, 44, 56, 58, 77, 88, 112, 116, 154, 176, 203, 224, 232, 308, 319, 352, 406, 464, 616, 638, 812, 928, 1232, 1276, 1624, 2233, 2464, 2552, 3248, 4466, 5104, 6496, 8932, 10208, 17864, 35728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71444 and 71456. The biggest common factor number is the GCF number.
So the greatest common factor 71444 and 71456 is 4.

Also check out the Least Common Multiple of 71444 and 71456