What is the Greatest Common Factor of 85584 and 85604?

Greatest common factor (GCF) of 85584 and 85604 is 4.

GCF(85584,85604) = 4

We will now calculate the prime factors of 85584 and 85604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85584 and 85604.

How to find the GCF of 85584 and 85604?

We will first find the prime factorization of 85584 and 85604. After we will calculate the factors of 85584 and 85604 and find the biggest common factor number .

Step-1: Prime Factorization of 85584

Prime factors of 85584 are 2, 3, 1783. Prime factorization of 85584 in exponential form is:

85584 = 2⁴ × 3¹ × 1783¹

Step-2: Prime Factorization of 85604

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

85604 = 2² × 21401¹

Step-3: Factors of 85584

List of positive integer factors of 85584 that divides 85584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1783, 3566, 5349, 7132, 10698, 14264, 21396, 28528, 42792

Step-4: Factors of 85604

List of positive integer factors of 85604 that divides 85584 without a remainder.

1, 2, 4, 21401, 42802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85584 and 85604. The biggest common factor number is the GCF number.
So the greatest common factor 85584 and 85604 is 4.

Also check out the Least Common Multiple of 85584 and 85604