What is the Greatest Common Factor of 85584 and 85601?

Greatest common factor (GCF) of 85584 and 85601 is 1.

GCF(85584,85601) = 1

We will now calculate the prime factors of 85584 and 85601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85584 and 85601.

How to find the GCF of 85584 and 85601?

We will first find the prime factorization of 85584 and 85601. After we will calculate the factors of 85584 and 85601 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 85601

Prime factors of 85601 are 85601. Prime factorization of 85601 in exponential form is:

85601 = 85601¹

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 85601

List of positive integer factors of 85601 that divides 85584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85584 and 85601. The biggest common factor number is the GCF number.
So the greatest common factor 85584 and 85601 is 1.

Also check out the Least Common Multiple of 85584 and 85601