What is the Greatest Common Factor of 66512 and 66522?

Greatest common factor (GCF) of 66512 and 66522 is 2.

GCF(66512,66522) = 2

We will now calculate the prime factors of 66512 and 66522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66512 and 66522.

How to find the GCF of 66512 and 66522?

We will first find the prime factorization of 66512 and 66522. After we will calculate the factors of 66512 and 66522 and find the biggest common factor number .

Step-1: Prime Factorization of 66512

Prime factors of 66512 are 2, 4157. Prime factorization of 66512 in exponential form is:

66512 = 2⁴ × 4157¹

Step-2: Prime Factorization of 66522

Prime factors of 66522 are 2, 3, 11087. Prime factorization of 66522 in exponential form is:

66522 = 2¹ × 3¹ × 11087¹

Step-3: Factors of 66512

List of positive integer factors of 66512 that divides 66512 without a remainder.

1, 2, 4, 8, 16, 4157, 8314, 16628, 33256

Step-4: Factors of 66522

List of positive integer factors of 66522 that divides 66512 without a remainder.

1, 2, 3, 6, 11087, 22174, 33261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66512 and 66522. The biggest common factor number is the GCF number.
So the greatest common factor 66512 and 66522 is 2.

Also check out the Least Common Multiple of 66512 and 66522