What is the Greatest Common Factor of 85485 and 85497?

Greatest common factor (GCF) of 85485 and 85497 is 3.

GCF(85485,85497) = 3

We will now calculate the prime factors of 85485 and 85497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85485 and 85497.

How to find the GCF of 85485 and 85497?

We will first find the prime factorization of 85485 and 85497. After we will calculate the factors of 85485 and 85497 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85497

Prime factors of 85497 are 3, 28499. Prime factorization of 85497 in exponential form is:

85497 = 3¹ × 28499¹

Step-3: Factors of 85485

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

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

Step-4: Factors of 85497

List of positive integer factors of 85497 that divides 85485 without a remainder.

1, 3, 28499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85485 and 85497. The biggest common factor number is the GCF number.
So the greatest common factor 85485 and 85497 is 3.

Also check out the Least Common Multiple of 85485 and 85497