What is the Greatest Common Factor of 71456 and 71470?

Greatest common factor (GCF) of 71456 and 71470 is 14.

GCF(71456,71470) = 14

We will now calculate the prime factors of 71456 and 71470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71456 and 71470.

How to find the GCF of 71456 and 71470?

We will first find the prime factorization of 71456 and 71470. After we will calculate the factors of 71456 and 71470 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 71470

Prime factors of 71470 are 2, 5, 7, 1021. Prime factorization of 71470 in exponential form is:

71470 = 2¹ × 5¹ × 7¹ × 1021¹

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 71470

List of positive integer factors of 71470 that divides 71456 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1021, 2042, 5105, 7147, 10210, 14294, 35735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71456 and 71470. The biggest common factor number is the GCF number.
So the greatest common factor 71456 and 71470 is 14.

Also check out the Least Common Multiple of 71456 and 71470