What is the Greatest Common Factor of 85584 and 85594?

Greatest common factor (GCF) of 85584 and 85594 is 2.

GCF(85584,85594) = 2

We will now calculate the prime factors of 85584 and 85594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85584 and 85594.

How to find the GCF of 85584 and 85594?

We will first find the prime factorization of 85584 and 85594. After we will calculate the factors of 85584 and 85594 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 85594

Prime factors of 85594 are 2, 42797. Prime factorization of 85594 in exponential form is:

85594 = 2¹ × 42797¹

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 85594

List of positive integer factors of 85594 that divides 85584 without a remainder.

1, 2, 42797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85584 and 85594. The biggest common factor number is the GCF number.
So the greatest common factor 85584 and 85594 is 2.

Also check out the Least Common Multiple of 85584 and 85594