What is the Greatest Common Factor of 67072 and 67088?

Greatest common factor (GCF) of 67072 and 67088 is 16.

GCF(67072,67088) = 16

We will now calculate the prime factors of 67072 and 67088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67072 and 67088.

How to find the GCF of 67072 and 67088?

We will first find the prime factorization of 67072 and 67088. After we will calculate the factors of 67072 and 67088 and find the biggest common factor number .

Step-1: Prime Factorization of 67072

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

67072 = 2⁹ × 131¹

Step-2: Prime Factorization of 67088

Prime factors of 67088 are 2, 7, 599. Prime factorization of 67088 in exponential form is:

67088 = 2⁴ × 7¹ × 599¹

Step-3: Factors of 67072

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

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

Step-4: Factors of 67088

List of positive integer factors of 67088 that divides 67072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 599, 1198, 2396, 4193, 4792, 8386, 9584, 16772, 33544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67072 and 67088. The biggest common factor number is the GCF number.
So the greatest common factor 67072 and 67088 is 16.

Also check out the Least Common Multiple of 67072 and 67088