What is the Greatest Common Factor of 84552 and 84566?

Greatest common factor (GCF) of 84552 and 84566 is 2.

GCF(84552,84566) = 2

We will now calculate the prime factors of 84552 and 84566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84552 and 84566.

How to find the GCF of 84552 and 84566?

We will first find the prime factorization of 84552 and 84566. After we will calculate the factors of 84552 and 84566 and find the biggest common factor number .

Step-1: Prime Factorization of 84552

Prime factors of 84552 are 2, 3, 13, 271. Prime factorization of 84552 in exponential form is:

84552 = 2³ × 3¹ × 13¹ × 271¹

Step-2: Prime Factorization of 84566

Prime factors of 84566 are 2, 42283. Prime factorization of 84566 in exponential form is:

84566 = 2¹ × 42283¹

Step-3: Factors of 84552

List of positive integer factors of 84552 that divides 84552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 271, 312, 542, 813, 1084, 1626, 2168, 3252, 3523, 6504, 7046, 10569, 14092, 21138, 28184, 42276

Step-4: Factors of 84566

List of positive integer factors of 84566 that divides 84552 without a remainder.

1, 2, 42283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84552 and 84566. The biggest common factor number is the GCF number.
So the greatest common factor 84552 and 84566 is 2.

Also check out the Least Common Multiple of 84552 and 84566