What is the Greatest Common Factor of 66786 and 66798?

Greatest common factor (GCF) of 66786 and 66798 is 6.

GCF(66786,66798) = 6

We will now calculate the prime factors of 66786 and 66798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66786 and 66798.

How to find the GCF of 66786 and 66798?

We will first find the prime factorization of 66786 and 66798. After we will calculate the factors of 66786 and 66798 and find the biggest common factor number .

Step-1: Prime Factorization of 66786

Prime factors of 66786 are 2, 3, 11131. Prime factorization of 66786 in exponential form is:

66786 = 2¹ × 3¹ × 11131¹

Step-2: Prime Factorization of 66798

Prime factors of 66798 are 2, 3, 1237. Prime factorization of 66798 in exponential form is:

66798 = 2¹ × 3³ × 1237¹

Step-3: Factors of 66786

List of positive integer factors of 66786 that divides 66786 without a remainder.

1, 2, 3, 6, 11131, 22262, 33393

Step-4: Factors of 66798

List of positive integer factors of 66798 that divides 66786 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1237, 2474, 3711, 7422, 11133, 22266, 33399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66786 and 66798. The biggest common factor number is the GCF number.
So the greatest common factor 66786 and 66798 is 6.

Also check out the Least Common Multiple of 66786 and 66798