What is the Greatest Common Factor of 66381 and 66388?

Greatest common factor (GCF) of 66381 and 66388 is 7.

GCF(66381,66388) = 7

We will now calculate the prime factors of 66381 and 66388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66381 and 66388.

How to find the GCF of 66381 and 66388?

We will first find the prime factorization of 66381 and 66388. After we will calculate the factors of 66381 and 66388 and find the biggest common factor number .

Step-1: Prime Factorization of 66381

Prime factors of 66381 are 3, 7, 29, 109. Prime factorization of 66381 in exponential form is:

66381 = 3¹ × 7¹ × 29¹ × 109¹

Step-2: Prime Factorization of 66388

Prime factors of 66388 are 2, 7, 2371. Prime factorization of 66388 in exponential form is:

66388 = 2² × 7¹ × 2371¹

Step-3: Factors of 66381

List of positive integer factors of 66381 that divides 66381 without a remainder.

1, 3, 7, 21, 29, 87, 109, 203, 327, 609, 763, 2289, 3161, 9483, 22127

Step-4: Factors of 66388

List of positive integer factors of 66388 that divides 66381 without a remainder.

1, 2, 4, 7, 14, 28, 2371, 4742, 9484, 16597, 33194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66381 and 66388. The biggest common factor number is the GCF number.
So the greatest common factor 66381 and 66388 is 7.

Also check out the Least Common Multiple of 66381 and 66388