What is the Greatest Common Factor of 85405 and 85410?

Greatest common factor (GCF) of 85405 and 85410 is 5.

GCF(85405,85410) = 5

We will now calculate the prime factors of 85405 and 85410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85405 and 85410.

How to find the GCF of 85405 and 85410?

We will first find the prime factorization of 85405 and 85410. After we will calculate the factors of 85405 and 85410 and find the biggest common factor number .

Step-1: Prime Factorization of 85405

Prime factors of 85405 are 5, 19, 29, 31. Prime factorization of 85405 in exponential form is:

85405 = 5¹ × 19¹ × 29¹ × 31¹

Step-2: Prime Factorization of 85410

Prime factors of 85410 are 2, 3, 5, 13, 73. Prime factorization of 85410 in exponential form is:

85410 = 2¹ × 3² × 5¹ × 13¹ × 73¹

Step-3: Factors of 85405

List of positive integer factors of 85405 that divides 85405 without a remainder.

1, 5, 19, 29, 31, 95, 145, 155, 551, 589, 899, 2755, 2945, 4495, 17081

Step-4: Factors of 85410

List of positive integer factors of 85410 that divides 85405 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 73, 78, 90, 117, 130, 146, 195, 219, 234, 365, 390, 438, 585, 657, 730, 949, 1095, 1170, 1314, 1898, 2190, 2847, 3285, 4745, 5694, 6570, 8541, 9490, 14235, 17082, 28470, 42705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85405 and 85410. The biggest common factor number is the GCF number.
So the greatest common factor 85405 and 85410 is 5.

Also check out the Least Common Multiple of 85405 and 85410