What is the Greatest Common Factor of 85410 and 85423?

Greatest common factor (GCF) of 85410 and 85423 is 13.

GCF(85410,85423) = 13

We will now calculate the prime factors of 85410 and 85423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85410 and 85423.

How to find the GCF of 85410 and 85423?

We will first find the prime factorization of 85410 and 85423. After we will calculate the factors of 85410 and 85423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85423

Prime factors of 85423 are 13, 6571. Prime factorization of 85423 in exponential form is:

85423 = 13¹ × 6571¹

Step-3: Factors of 85410

List of positive integer factors of 85410 that divides 85410 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

Step-4: Factors of 85423

List of positive integer factors of 85423 that divides 85410 without a remainder.

1, 13, 6571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85410 and 85423. The biggest common factor number is the GCF number.
So the greatest common factor 85410 and 85423 is 13.

Also check out the Least Common Multiple of 85410 and 85423