What is the Greatest Common Factor of 85395 and 85410?

Greatest common factor (GCF) of 85395 and 85410 is 15.

GCF(85395,85410) = 15

We will now calculate the prime factors of 85395 and 85410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85395 and 85410.

How to find the GCF of 85395 and 85410?

We will first find the prime factorization of 85395 and 85410. After we will calculate the factors of 85395 and 85410 and find the biggest common factor number .

Step-1: Prime Factorization of 85395

Prime factors of 85395 are 3, 5, 5693. Prime factorization of 85395 in exponential form is:

85395 = 3¹ × 5¹ × 5693¹

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 85395

List of positive integer factors of 85395 that divides 85395 without a remainder.

1, 3, 5, 15, 5693, 17079, 28465

Step-4: Factors of 85410

List of positive integer factors of 85410 that divides 85395 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 85395 and 85410. The biggest common factor number is the GCF number.
So the greatest common factor 85395 and 85410 is 15.

Also check out the Least Common Multiple of 85395 and 85410