What is the Greatest Common Factor of 66986 and 66994?

Greatest common factor (GCF) of 66986 and 66994 is 2.

GCF(66986,66994) = 2

We will now calculate the prime factors of 66986 and 66994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66986 and 66994.

How to find the GCF of 66986 and 66994?

We will first find the prime factorization of 66986 and 66994. After we will calculate the factors of 66986 and 66994 and find the biggest common factor number .

Step-1: Prime Factorization of 66986

Prime factors of 66986 are 2, 33493. Prime factorization of 66986 in exponential form is:

66986 = 2¹ × 33493¹

Step-2: Prime Factorization of 66994

Prime factors of 66994 are 2, 19, 41, 43. Prime factorization of 66994 in exponential form is:

66994 = 2¹ × 19¹ × 41¹ × 43¹

Step-3: Factors of 66986

List of positive integer factors of 66986 that divides 66986 without a remainder.

1, 2, 33493

Step-4: Factors of 66994

List of positive integer factors of 66994 that divides 66986 without a remainder.

1, 2, 19, 38, 41, 43, 82, 86, 779, 817, 1558, 1634, 1763, 3526, 33497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66986 and 66994. The biggest common factor number is the GCF number.
So the greatest common factor 66986 and 66994 is 2.

Also check out the Least Common Multiple of 66986 and 66994