What is the Greatest Common Factor of 66554 and 66572?

Greatest common factor (GCF) of 66554 and 66572 is 2.

GCF(66554,66572) = 2

We will now calculate the prime factors of 66554 and 66572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66554 and 66572.

How to find the GCF of 66554 and 66572?

We will first find the prime factorization of 66554 and 66572. After we will calculate the factors of 66554 and 66572 and find the biggest common factor number .

Step-1: Prime Factorization of 66554

Prime factors of 66554 are 2, 107, 311. Prime factorization of 66554 in exponential form is:

66554 = 2¹ × 107¹ × 311¹

Step-2: Prime Factorization of 66572

Prime factors of 66572 are 2, 11, 17, 89. Prime factorization of 66572 in exponential form is:

66572 = 2² × 11¹ × 17¹ × 89¹

Step-3: Factors of 66554

List of positive integer factors of 66554 that divides 66554 without a remainder.

1, 2, 107, 214, 311, 622, 33277

Step-4: Factors of 66572

List of positive integer factors of 66572 that divides 66554 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 89, 178, 187, 356, 374, 748, 979, 1513, 1958, 3026, 3916, 6052, 16643, 33286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66554 and 66572. The biggest common factor number is the GCF number.
So the greatest common factor 66554 and 66572 is 2.

Also check out the Least Common Multiple of 66554 and 66572