What is the Greatest Common Factor of 85566 and 85584?

Greatest common factor (GCF) of 85566 and 85584 is 6.

GCF(85566,85584) = 6

We will now calculate the prime factors of 85566 and 85584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85566 and 85584.

How to find the GCF of 85566 and 85584?

We will first find the prime factorization of 85566 and 85584. After we will calculate the factors of 85566 and 85584 and find the biggest common factor number .

Step-1: Prime Factorization of 85566

Prime factors of 85566 are 2, 3, 13, 1097. Prime factorization of 85566 in exponential form is:

85566 = 2¹ × 3¹ × 13¹ × 1097¹

Step-2: 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-3: Factors of 85566

List of positive integer factors of 85566 that divides 85566 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1097, 2194, 3291, 6582, 14261, 28522, 42783

Step-4: Factors of 85584

List of positive integer factors of 85584 that divides 85566 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85566 and 85584. The biggest common factor number is the GCF number.
So the greatest common factor 85566 and 85584 is 6.

Also check out the Least Common Multiple of 85566 and 85584