What is the Greatest Common Factor of 67714 and 67728?

Greatest common factor (GCF) of 67714 and 67728 is 2.

GCF(67714,67728) = 2

We will now calculate the prime factors of 67714 and 67728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67714 and 67728.

How to find the GCF of 67714 and 67728?

We will first find the prime factorization of 67714 and 67728. After we will calculate the factors of 67714 and 67728 and find the biggest common factor number .

Step-1: Prime Factorization of 67714

Prime factors of 67714 are 2, 33857. Prime factorization of 67714 in exponential form is:

67714 = 2¹ × 33857¹

Step-2: Prime Factorization of 67728

Prime factors of 67728 are 2, 3, 17, 83. Prime factorization of 67728 in exponential form is:

67728 = 2⁴ × 3¹ × 17¹ × 83¹

Step-3: Factors of 67714

List of positive integer factors of 67714 that divides 67714 without a remainder.

1, 2, 33857

Step-4: Factors of 67728

List of positive integer factors of 67728 that divides 67714 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 83, 102, 136, 166, 204, 249, 272, 332, 408, 498, 664, 816, 996, 1328, 1411, 1992, 2822, 3984, 4233, 5644, 8466, 11288, 16932, 22576, 33864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67714 and 67728. The biggest common factor number is the GCF number.
So the greatest common factor 67714 and 67728 is 2.

Also check out the Least Common Multiple of 67714 and 67728