What is the Greatest Common Factor of 85604 and 85622?

Greatest common factor (GCF) of 85604 and 85622 is 2.

GCF(85604,85622) = 2

We will now calculate the prime factors of 85604 and 85622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85604 and 85622.

How to find the GCF of 85604 and 85622?

We will first find the prime factorization of 85604 and 85622. After we will calculate the factors of 85604 and 85622 and find the biggest common factor number .

Step-1: Prime Factorization of 85604

Prime factors of 85604 are 2, 21401. Prime factorization of 85604 in exponential form is:

85604 = 2² × 21401¹

Step-2: Prime Factorization of 85622

Prime factors of 85622 are 2, 31, 1381. Prime factorization of 85622 in exponential form is:

85622 = 2¹ × 31¹ × 1381¹

Step-3: Factors of 85604

List of positive integer factors of 85604 that divides 85604 without a remainder.

1, 2, 4, 21401, 42802

Step-4: Factors of 85622

List of positive integer factors of 85622 that divides 85604 without a remainder.

1, 2, 31, 62, 1381, 2762, 42811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85604 and 85622. The biggest common factor number is the GCF number.
So the greatest common factor 85604 and 85622 is 2.

Also check out the Least Common Multiple of 85604 and 85622