What is the Greatest Common Factor of 85470 and 85485?

Greatest common factor (GCF) of 85470 and 85485 is 15.

GCF(85470,85485) = 15

We will now calculate the prime factors of 85470 and 85485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85470 and 85485.

How to find the GCF of 85470 and 85485?

We will first find the prime factorization of 85470 and 85485. After we will calculate the factors of 85470 and 85485 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 85485

Prime factors of 85485 are 3, 5, 41, 139. Prime factorization of 85485 in exponential form is:

85485 = 3¹ × 5¹ × 41¹ × 139¹

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 85485

List of positive integer factors of 85485 that divides 85470 without a remainder.

1, 3, 5, 15, 41, 123, 139, 205, 417, 615, 695, 2085, 5699, 17097, 28495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85470 and 85485. The biggest common factor number is the GCF number.
So the greatest common factor 85470 and 85485 is 15.

Also check out the Least Common Multiple of 85470 and 85485