What is the Greatest Common Factor of 71456 and 71468?

Greatest common factor (GCF) of 71456 and 71468 is 4.

GCF(71456,71468) = 4

We will now calculate the prime factors of 71456 and 71468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71456 and 71468.

How to find the GCF of 71456 and 71468?

We will first find the prime factorization of 71456 and 71468. After we will calculate the factors of 71456 and 71468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71468

Prime factors of 71468 are 2, 17, 1051. Prime factorization of 71468 in exponential form is:

71468 = 2² × 17¹ × 1051¹

Step-3: Factors of 71456

List of positive integer factors of 71456 that divides 71456 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

Step-4: Factors of 71468

List of positive integer factors of 71468 that divides 71456 without a remainder.

1, 2, 4, 17, 34, 68, 1051, 2102, 4204, 17867, 35734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71456 and 71468. The biggest common factor number is the GCF number.
So the greatest common factor 71456 and 71468 is 4.

Also check out the Least Common Multiple of 71456 and 71468