What is the Greatest Common Factor of 71456 and 71472?

Greatest common factor (GCF) of 71456 and 71472 is 16.

GCF(71456,71472) = 16

We will now calculate the prime factors of 71456 and 71472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71456 and 71472.

How to find the GCF of 71456 and 71472?

We will first find the prime factorization of 71456 and 71472. After we will calculate the factors of 71456 and 71472 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 71472

Prime factors of 71472 are 2, 3, 1489. Prime factorization of 71472 in exponential form is:

71472 = 2⁴ × 3¹ × 1489¹

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 71472

List of positive integer factors of 71472 that divides 71456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1489, 2978, 4467, 5956, 8934, 11912, 17868, 23824, 35736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71456 and 71472. The biggest common factor number is the GCF number.
So the greatest common factor 71456 and 71472 is 16.

Also check out the Least Common Multiple of 71456 and 71472