What is the Greatest Common Factor of 85456 and 85470?

Greatest common factor (GCF) of 85456 and 85470 is 14.

GCF(85456,85470) = 14

We will now calculate the prime factors of 85456 and 85470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85456 and 85470.

How to find the GCF of 85456 and 85470?

We will first find the prime factorization of 85456 and 85470. After we will calculate the factors of 85456 and 85470 and find the biggest common factor number .

Step-1: Prime Factorization of 85456

Prime factors of 85456 are 2, 7, 109. Prime factorization of 85456 in exponential form is:

85456 = 2⁴ × 7² × 109¹

Step-2: Prime Factorization of 85470

Prime factors of 85470 are 2, 3, 5, 7, 11, 37. Prime factorization of 85470 in exponential form is:

85470 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 37¹

Step-3: Factors of 85456

List of positive integer factors of 85456 that divides 85456 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 109, 112, 196, 218, 392, 436, 763, 784, 872, 1526, 1744, 3052, 5341, 6104, 10682, 12208, 21364, 42728

Step-4: Factors of 85470

List of positive integer factors of 85470 that divides 85456 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 37, 42, 55, 66, 70, 74, 77, 105, 110, 111, 154, 165, 185, 210, 222, 231, 259, 330, 370, 385, 407, 462, 518, 555, 770, 777, 814, 1110, 1155, 1221, 1295, 1554, 2035, 2310, 2442, 2590, 2849, 3885, 4070, 5698, 6105, 7770, 8547, 12210, 14245, 17094, 28490, 42735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85456 and 85470. The biggest common factor number is the GCF number.
So the greatest common factor 85456 and 85470 is 14.

Also check out the Least Common Multiple of 85456 and 85470