What is the Greatest Common Factor of 66272 and 66278?

Greatest common factor (GCF) of 66272 and 66278 is 2.

GCF(66272,66278) = 2

We will now calculate the prime factors of 66272 and 66278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66272 and 66278.

How to find the GCF of 66272 and 66278?

We will first find the prime factorization of 66272 and 66278. After we will calculate the factors of 66272 and 66278 and find the biggest common factor number .

Step-1: Prime Factorization of 66272

Prime factors of 66272 are 2, 19, 109. Prime factorization of 66272 in exponential form is:

66272 = 2⁵ × 19¹ × 109¹

Step-2: Prime Factorization of 66278

Prime factors of 66278 are 2, 31, 1069. Prime factorization of 66278 in exponential form is:

66278 = 2¹ × 31¹ × 1069¹

Step-3: Factors of 66272

List of positive integer factors of 66272 that divides 66272 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 109, 152, 218, 304, 436, 608, 872, 1744, 2071, 3488, 4142, 8284, 16568, 33136

Step-4: Factors of 66278

List of positive integer factors of 66278 that divides 66272 without a remainder.

1, 2, 31, 62, 1069, 2138, 33139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66272 and 66278. The biggest common factor number is the GCF number.
So the greatest common factor 66272 and 66278 is 2.

Also check out the Least Common Multiple of 66272 and 66278