What is the Greatest Common Factor of 66526 and 66536?

Greatest common factor (GCF) of 66526 and 66536 is 2.

GCF(66526,66536) = 2

We will now calculate the prime factors of 66526 and 66536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66526 and 66536.

How to find the GCF of 66526 and 66536?

We will first find the prime factorization of 66526 and 66536. After we will calculate the factors of 66526 and 66536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66536

Prime factors of 66536 are 2, 8317. Prime factorization of 66536 in exponential form is:

66536 = 2³ × 8317¹

Step-3: Factors of 66526

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

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

Step-4: Factors of 66536

List of positive integer factors of 66536 that divides 66526 without a remainder.

1, 2, 4, 8, 8317, 16634, 33268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66526 and 66536. The biggest common factor number is the GCF number.
So the greatest common factor 66526 and 66536 is 2.

Also check out the Least Common Multiple of 66526 and 66536