What is the Greatest Common Factor of 85410 and 85420?

Greatest common factor (GCF) of 85410 and 85420 is 10.

GCF(85410,85420) = 10

We will now calculate the prime factors of 85410 and 85420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85410 and 85420.

How to find the GCF of 85410 and 85420?

We will first find the prime factorization of 85410 and 85420. After we will calculate the factors of 85410 and 85420 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 85420

Prime factors of 85420 are 2, 5, 4271. Prime factorization of 85420 in exponential form is:

85420 = 2² × 5¹ × 4271¹

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 85420

List of positive integer factors of 85420 that divides 85410 without a remainder.

1, 2, 4, 5, 10, 20, 4271, 8542, 17084, 21355, 42710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85410 and 85420. The biggest common factor number is the GCF number.
So the greatest common factor 85410 and 85420 is 10.

Also check out the Least Common Multiple of 85410 and 85420