What is the Greatest Common Factor of 85475 and 85485?

Greatest common factor (GCF) of 85475 and 85485 is 5.

GCF(85475,85485) = 5

We will now calculate the prime factors of 85475 and 85485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85475 and 85485.

How to find the GCF of 85475 and 85485?

We will first find the prime factorization of 85475 and 85485. After we will calculate the factors of 85475 and 85485 and find the biggest common factor number .

Step-1: 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-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 85475

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

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

Step-4: Factors of 85485

List of positive integer factors of 85485 that divides 85475 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 85475 and 85485. The biggest common factor number is the GCF number.
So the greatest common factor 85475 and 85485 is 5.

Also check out the Least Common Multiple of 85475 and 85485