What is the Greatest Common Factor of 67152 and 67168?

Greatest common factor (GCF) of 67152 and 67168 is 16.

GCF(67152,67168) = 16

We will now calculate the prime factors of 67152 and 67168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67152 and 67168.

How to find the GCF of 67152 and 67168?

We will first find the prime factorization of 67152 and 67168. After we will calculate the factors of 67152 and 67168 and find the biggest common factor number .

Step-1: Prime Factorization of 67152

Prime factors of 67152 are 2, 3, 1399. Prime factorization of 67152 in exponential form is:

67152 = 2⁴ × 3¹ × 1399¹

Step-2: Prime Factorization of 67168

Prime factors of 67168 are 2, 2099. Prime factorization of 67168 in exponential form is:

67168 = 2⁵ × 2099¹

Step-3: Factors of 67152

List of positive integer factors of 67152 that divides 67152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1399, 2798, 4197, 5596, 8394, 11192, 16788, 22384, 33576

Step-4: Factors of 67168

List of positive integer factors of 67168 that divides 67152 without a remainder.

1, 2, 4, 8, 16, 32, 2099, 4198, 8396, 16792, 33584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67152 and 67168. The biggest common factor number is the GCF number.
So the greatest common factor 67152 and 67168 is 16.

Also check out the Least Common Multiple of 67152 and 67168