What is the Greatest Common Factor of 29667 and 29674?

Greatest common factor (GCF) of 29667 and 29674 is 1.

GCF(29667,29674) = 1

We will now calculate the prime factors of 29667 and 29674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29667 and 29674.

How to find the GCF of 29667 and 29674?

We will first find the prime factorization of 29667 and 29674. After we will calculate the factors of 29667 and 29674 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 29674

Prime factors of 29674 are 2, 37, 401. Prime factorization of 29674 in exponential form is:

29674 = 2¹ × 37¹ × 401¹

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 29674

List of positive integer factors of 29674 that divides 29667 without a remainder.

1, 2, 37, 74, 401, 802, 14837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29667 and 29674. The biggest common factor number is the GCF number.
So the greatest common factor 29667 and 29674 is 1.

Also check out the Least Common Multiple of 29667 and 29674