What is the Greatest Common Factor of 66078 and 66082?

Greatest common factor (GCF) of 66078 and 66082 is 2.

GCF(66078,66082) = 2

We will now calculate the prime factors of 66078 and 66082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66078 and 66082.

How to find the GCF of 66078 and 66082?

We will first find the prime factorization of 66078 and 66082. After we will calculate the factors of 66078 and 66082 and find the biggest common factor number .

Step-1: Prime Factorization of 66078

Prime factors of 66078 are 2, 3, 3671. Prime factorization of 66078 in exponential form is:

66078 = 2¹ × 3² × 3671¹

Step-2: Prime Factorization of 66082

Prime factors of 66082 are 2, 19, 37, 47. Prime factorization of 66082 in exponential form is:

66082 = 2¹ × 19¹ × 37¹ × 47¹

Step-3: Factors of 66078

List of positive integer factors of 66078 that divides 66078 without a remainder.

1, 2, 3, 6, 9, 18, 3671, 7342, 11013, 22026, 33039

Step-4: Factors of 66082

List of positive integer factors of 66082 that divides 66078 without a remainder.

1, 2, 19, 37, 38, 47, 74, 94, 703, 893, 1406, 1739, 1786, 3478, 33041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66078 and 66082. The biggest common factor number is the GCF number.
So the greatest common factor 66078 and 66082 is 2.

Also check out the Least Common Multiple of 66078 and 66082