What is the Greatest Common Factor of 66544 and 66562?

Greatest common factor (GCF) of 66544 and 66562 is 2.

GCF(66544,66562) = 2

We will now calculate the prime factors of 66544 and 66562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66544 and 66562.

How to find the GCF of 66544 and 66562?

We will first find the prime factorization of 66544 and 66562. After we will calculate the factors of 66544 and 66562 and find the biggest common factor number .

Step-1: Prime Factorization of 66544

Prime factors of 66544 are 2, 4159. Prime factorization of 66544 in exponential form is:

66544 = 2⁴ × 4159¹

Step-2: Prime Factorization of 66562

Prime factors of 66562 are 2, 23, 1447. Prime factorization of 66562 in exponential form is:

66562 = 2¹ × 23¹ × 1447¹

Step-3: Factors of 66544

List of positive integer factors of 66544 that divides 66544 without a remainder.

1, 2, 4, 8, 16, 4159, 8318, 16636, 33272

Step-4: Factors of 66562

List of positive integer factors of 66562 that divides 66544 without a remainder.

1, 2, 23, 46, 1447, 2894, 33281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66544 and 66562. The biggest common factor number is the GCF number.
So the greatest common factor 66544 and 66562 is 2.

Also check out the Least Common Multiple of 66544 and 66562