What is the Greatest Common Factor of 85530 and 85542?

Greatest common factor (GCF) of 85530 and 85542 is 6.

GCF(85530,85542) = 6

We will now calculate the prime factors of 85530 and 85542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85530 and 85542.

How to find the GCF of 85530 and 85542?

We will first find the prime factorization of 85530 and 85542. After we will calculate the factors of 85530 and 85542 and find the biggest common factor number .

Step-1: Prime Factorization of 85530

Prime factors of 85530 are 2, 3, 5, 2851. Prime factorization of 85530 in exponential form is:

85530 = 2¹ × 3¹ × 5¹ × 2851¹

Step-2: Prime Factorization of 85542

Prime factors of 85542 are 2, 3, 53, 269. Prime factorization of 85542 in exponential form is:

85542 = 2¹ × 3¹ × 53¹ × 269¹

Step-3: Factors of 85530

List of positive integer factors of 85530 that divides 85530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2851, 5702, 8553, 14255, 17106, 28510, 42765

Step-4: Factors of 85542

List of positive integer factors of 85542 that divides 85530 without a remainder.

1, 2, 3, 6, 53, 106, 159, 269, 318, 538, 807, 1614, 14257, 28514, 42771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85530 and 85542. The biggest common factor number is the GCF number.
So the greatest common factor 85530 and 85542 is 6.

Also check out the Least Common Multiple of 85530 and 85542