What is the Greatest Common Factor of 67672 and 67678?

Greatest common factor (GCF) of 67672 and 67678 is 2.

GCF(67672,67678) = 2

We will now calculate the prime factors of 67672 and 67678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67672 and 67678.

How to find the GCF of 67672 and 67678?

We will first find the prime factorization of 67672 and 67678. After we will calculate the factors of 67672 and 67678 and find the biggest common factor number .

Step-1: Prime Factorization of 67672

Prime factors of 67672 are 2, 11, 769. Prime factorization of 67672 in exponential form is:

67672 = 2³ × 11¹ × 769¹

Step-2: Prime Factorization of 67678

Prime factors of 67678 are 2, 13, 19, 137. Prime factorization of 67678 in exponential form is:

67678 = 2¹ × 13¹ × 19¹ × 137¹

Step-3: Factors of 67672

List of positive integer factors of 67672 that divides 67672 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 769, 1538, 3076, 6152, 8459, 16918, 33836

Step-4: Factors of 67678

List of positive integer factors of 67678 that divides 67672 without a remainder.

1, 2, 13, 19, 26, 38, 137, 247, 274, 494, 1781, 2603, 3562, 5206, 33839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67672 and 67678. The biggest common factor number is the GCF number.
So the greatest common factor 67672 and 67678 is 2.

Also check out the Least Common Multiple of 67672 and 67678