What is the Greatest Common Factor of 85553 and 85566?

Greatest common factor (GCF) of 85553 and 85566 is 13.

GCF(85553,85566) = 13

We will now calculate the prime factors of 85553 and 85566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85553 and 85566.

How to find the GCF of 85553 and 85566?

We will first find the prime factorization of 85553 and 85566. After we will calculate the factors of 85553 and 85566 and find the biggest common factor number .

Step-1: Prime Factorization of 85553

Prime factors of 85553 are 13, 6581. Prime factorization of 85553 in exponential form is:

85553 = 13¹ × 6581¹

Step-2: 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-3: Factors of 85553

List of positive integer factors of 85553 that divides 85553 without a remainder.

1, 13, 6581

Step-4: Factors of 85566

List of positive integer factors of 85566 that divides 85553 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85553 and 85566. The biggest common factor number is the GCF number.
So the greatest common factor 85553 and 85566 is 13.

Also check out the Least Common Multiple of 85553 and 85566