What is the Greatest Common Factor of 85542 and 85552?

Greatest common factor (GCF) of 85542 and 85552 is 2.

GCF(85542,85552) = 2

We will now calculate the prime factors of 85542 and 85552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85542 and 85552.

How to find the GCF of 85542 and 85552?

We will first find the prime factorization of 85542 and 85552. After we will calculate the factors of 85542 and 85552 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85552

Prime factors of 85552 are 2, 5347. Prime factorization of 85552 in exponential form is:

85552 = 2⁴ × 5347¹

Step-3: Factors of 85542

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

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

Step-4: Factors of 85552

List of positive integer factors of 85552 that divides 85542 without a remainder.

1, 2, 4, 8, 16, 5347, 10694, 21388, 42776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85542 and 85552. The biggest common factor number is the GCF number.
So the greatest common factor 85542 and 85552 is 2.

Also check out the Least Common Multiple of 85542 and 85552