What is the Greatest Common Factor of 67648 and 67658?

Greatest common factor (GCF) of 67648 and 67658 is 2.

GCF(67648,67658) = 2

We will now calculate the prime factors of 67648 and 67658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67648 and 67658.

How to find the GCF of 67648 and 67658?

We will first find the prime factorization of 67648 and 67658. After we will calculate the factors of 67648 and 67658 and find the biggest common factor number .

Step-1: Prime Factorization of 67648

Prime factors of 67648 are 2, 7, 151. Prime factorization of 67648 in exponential form is:

67648 = 2⁶ × 7¹ × 151¹

Step-2: Prime Factorization of 67658

Prime factors of 67658 are 2, 33829. Prime factorization of 67658 in exponential form is:

67658 = 2¹ × 33829¹

Step-3: Factors of 67648

List of positive integer factors of 67648 that divides 67648 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 151, 224, 302, 448, 604, 1057, 1208, 2114, 2416, 4228, 4832, 8456, 9664, 16912, 33824

Step-4: Factors of 67658

List of positive integer factors of 67658 that divides 67648 without a remainder.

1, 2, 33829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67648 and 67658. The biggest common factor number is the GCF number.
So the greatest common factor 67648 and 67658 is 2.

Also check out the Least Common Multiple of 67648 and 67658