What is the Greatest Common Factor of 67064 and 67072?

Greatest common factor (GCF) of 67064 and 67072 is 8.

GCF(67064,67072) = 8

We will now calculate the prime factors of 67064 and 67072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67064 and 67072.

How to find the GCF of 67064 and 67072?

We will first find the prime factorization of 67064 and 67072. After we will calculate the factors of 67064 and 67072 and find the biggest common factor number .

Step-1: Prime Factorization of 67064

Prime factors of 67064 are 2, 83, 101. Prime factorization of 67064 in exponential form is:

67064 = 2³ × 83¹ × 101¹

Step-2: Prime Factorization of 67072

Prime factors of 67072 are 2, 131. Prime factorization of 67072 in exponential form is:

67072 = 2⁹ × 131¹

Step-3: Factors of 67064

List of positive integer factors of 67064 that divides 67064 without a remainder.

1, 2, 4, 8, 83, 101, 166, 202, 332, 404, 664, 808, 8383, 16766, 33532

Step-4: Factors of 67072

List of positive integer factors of 67072 that divides 67064 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 512, 524, 1048, 2096, 4192, 8384, 16768, 33536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67064 and 67072. The biggest common factor number is the GCF number.
So the greatest common factor 67064 and 67072 is 8.

Also check out the Least Common Multiple of 67064 and 67072