What is the Greatest Common Factor of 85504 and 85522?

Greatest common factor (GCF) of 85504 and 85522 is 2.

GCF(85504,85522) = 2

We will now calculate the prime factors of 85504 and 85522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85504 and 85522.

How to find the GCF of 85504 and 85522?

We will first find the prime factorization of 85504 and 85522. After we will calculate the factors of 85504 and 85522 and find the biggest common factor number .

Step-1: Prime Factorization of 85504

Prime factors of 85504 are 2, 167. Prime factorization of 85504 in exponential form is:

85504 = 2⁹ × 167¹

Step-2: Prime Factorization of 85522

Prime factors of 85522 are 2, 61, 701. Prime factorization of 85522 in exponential form is:

85522 = 2¹ × 61¹ × 701¹

Step-3: Factors of 85504

List of positive integer factors of 85504 that divides 85504 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 512, 668, 1336, 2672, 5344, 10688, 21376, 42752

Step-4: Factors of 85522

List of positive integer factors of 85522 that divides 85504 without a remainder.

1, 2, 61, 122, 701, 1402, 42761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85504 and 85522. The biggest common factor number is the GCF number.
So the greatest common factor 85504 and 85522 is 2.

Also check out the Least Common Multiple of 85504 and 85522