What is the Greatest Common Factor of 85470 and 85475?

Greatest common factor (GCF) of 85470 and 85475 is 5.

GCF(85470,85475) = 5

We will now calculate the prime factors of 85470 and 85475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85470 and 85475.

How to find the GCF of 85470 and 85475?

We will first find the prime factorization of 85470 and 85475. After we will calculate the factors of 85470 and 85475 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85475

Prime factors of 85475 are 5, 13, 263. Prime factorization of 85475 in exponential form is:

85475 = 5² × 13¹ × 263¹

Step-3: Factors of 85470

List of positive integer factors of 85470 that divides 85470 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

Step-4: Factors of 85475

List of positive integer factors of 85475 that divides 85470 without a remainder.

1, 5, 13, 25, 65, 263, 325, 1315, 3419, 6575, 17095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85470 and 85475. The biggest common factor number is the GCF number.
So the greatest common factor 85470 and 85475 is 5.

Also check out the Least Common Multiple of 85470 and 85475