What is the Greatest Common Factor of 29667 and 29678?

Greatest common factor (GCF) of 29667 and 29678 is 11.

GCF(29667,29678) = 11

We will now calculate the prime factors of 29667 and 29678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29667 and 29678.

How to find the GCF of 29667 and 29678?

We will first find the prime factorization of 29667 and 29678. After we will calculate the factors of 29667 and 29678 and find the biggest common factor number .

Step-1: Prime Factorization of 29667

Prime factors of 29667 are 3, 11, 29, 31. Prime factorization of 29667 in exponential form is:

29667 = 3¹ × 11¹ × 29¹ × 31¹

Step-2: Prime Factorization of 29678

Prime factors of 29678 are 2, 11, 19, 71. Prime factorization of 29678 in exponential form is:

29678 = 2¹ × 11¹ × 19¹ × 71¹

Step-3: Factors of 29667

List of positive integer factors of 29667 that divides 29667 without a remainder.

1, 3, 11, 29, 31, 33, 87, 93, 319, 341, 899, 957, 1023, 2697, 9889

Step-4: Factors of 29678

List of positive integer factors of 29678 that divides 29667 without a remainder.

1, 2, 11, 19, 22, 38, 71, 142, 209, 418, 781, 1349, 1562, 2698, 14839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29667 and 29678. The biggest common factor number is the GCF number.
So the greatest common factor 29667 and 29678 is 11.

Also check out the Least Common Multiple of 29667 and 29678