What is the Greatest Common Factor of 67648 and 67662?

Greatest common factor (GCF) of 67648 and 67662 is 14.

GCF(67648,67662) = 14

We will now calculate the prime factors of 67648 and 67662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67648 and 67662.

How to find the GCF of 67648 and 67662?

We will first find the prime factorization of 67648 and 67662. After we will calculate the factors of 67648 and 67662 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 67662

Prime factors of 67662 are 2, 3, 7, 179. Prime factorization of 67662 in exponential form is:

67662 = 2¹ × 3³ × 7¹ × 179¹

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 67662

List of positive integer factors of 67662 that divides 67648 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 179, 189, 358, 378, 537, 1074, 1253, 1611, 2506, 3222, 3759, 4833, 7518, 9666, 11277, 22554, 33831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67648 and 67662. The biggest common factor number is the GCF number.
So the greatest common factor 67648 and 67662 is 14.

Also check out the Least Common Multiple of 67648 and 67662