What is the Greatest Common Factor of 66354 and 66371?

Greatest common factor (GCF) of 66354 and 66371 is 1.

GCF(66354,66371) = 1

We will now calculate the prime factors of 66354 and 66371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66354 and 66371.

How to find the GCF of 66354 and 66371?

We will first find the prime factorization of 66354 and 66371. After we will calculate the factors of 66354 and 66371 and find the biggest common factor number .

Step-1: Prime Factorization of 66354

Prime factors of 66354 are 2, 3, 11059. Prime factorization of 66354 in exponential form is:

66354 = 2¹ × 3¹ × 11059¹

Step-2: Prime Factorization of 66371

Prime factors of 66371 are 31, 2141. Prime factorization of 66371 in exponential form is:

66371 = 31¹ × 2141¹

Step-3: Factors of 66354

List of positive integer factors of 66354 that divides 66354 without a remainder.

1, 2, 3, 6, 11059, 22118, 33177

Step-4: Factors of 66371

List of positive integer factors of 66371 that divides 66354 without a remainder.

1, 31, 2141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66354 and 66371. The biggest common factor number is the GCF number.
So the greatest common factor 66354 and 66371 is 1.

Also check out the Least Common Multiple of 66354 and 66371