What is the Greatest Common Factor of 66336 and 66349?

Greatest common factor (GCF) of 66336 and 66349 is 1.

GCF(66336,66349) = 1

We will now calculate the prime factors of 66336 and 66349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66336 and 66349.

How to find the GCF of 66336 and 66349?

We will first find the prime factorization of 66336 and 66349. After we will calculate the factors of 66336 and 66349 and find the biggest common factor number .

Step-1: Prime Factorization of 66336

Prime factors of 66336 are 2, 3, 691. Prime factorization of 66336 in exponential form is:

66336 = 2⁵ × 3¹ × 691¹

Step-2: Prime Factorization of 66349

Prime factors of 66349 are 43, 1543. Prime factorization of 66349 in exponential form is:

66349 = 43¹ × 1543¹

Step-3: Factors of 66336

List of positive integer factors of 66336 that divides 66336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 22112, 33168

Step-4: Factors of 66349

List of positive integer factors of 66349 that divides 66336 without a remainder.

1, 43, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66336 and 66349. The biggest common factor number is the GCF number.
So the greatest common factor 66336 and 66349 is 1.

Also check out the Least Common Multiple of 66336 and 66349