What is the Greatest Common Factor of 66354 and 66368?

Greatest common factor (GCF) of 66354 and 66368 is 2.

GCF(66354,66368) = 2

We will now calculate the prime factors of 66354 and 66368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66354 and 66368.

How to find the GCF of 66354 and 66368?

We will first find the prime factorization of 66354 and 66368. After we will calculate the factors of 66354 and 66368 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 66368

Prime factors of 66368 are 2, 17, 61. Prime factorization of 66368 in exponential form is:

66368 = 2⁶ × 17¹ × 61¹

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 66368

List of positive integer factors of 66368 that divides 66354 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 61, 64, 68, 122, 136, 244, 272, 488, 544, 976, 1037, 1088, 1952, 2074, 3904, 4148, 8296, 16592, 33184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66354 and 66368. The biggest common factor number is the GCF number.
So the greatest common factor 66354 and 66368 is 2.

Also check out the Least Common Multiple of 66354 and 66368