What is the Greatest Common Factor of 66512 and 66526?

Greatest common factor (GCF) of 66512 and 66526 is 2.

GCF(66512,66526) = 2

We will now calculate the prime factors of 66512 and 66526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66512 and 66526.

How to find the GCF of 66512 and 66526?

We will first find the prime factorization of 66512 and 66526. After we will calculate the factors of 66512 and 66526 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 66526

Prime factors of 66526 are 2, 29, 31, 37. Prime factorization of 66526 in exponential form is:

66526 = 2¹ × 29¹ × 31¹ × 37¹

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 66526

List of positive integer factors of 66526 that divides 66512 without a remainder.

1, 2, 29, 31, 37, 58, 62, 74, 899, 1073, 1147, 1798, 2146, 2294, 33263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66512 and 66526. The biggest common factor number is the GCF number.
So the greatest common factor 66512 and 66526 is 2.

Also check out the Least Common Multiple of 66512 and 66526