What is the Greatest Common Factor of 29656 and 29667?

Greatest common factor (GCF) of 29656 and 29667 is 11.

GCF(29656,29667) = 11

We will now calculate the prime factors of 29656 and 29667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29656 and 29667.

How to find the GCF of 29656 and 29667?

We will first find the prime factorization of 29656 and 29667. After we will calculate the factors of 29656 and 29667 and find the biggest common factor number .

Step-1: Prime Factorization of 29656

Prime factors of 29656 are 2, 11, 337. Prime factorization of 29656 in exponential form is:

29656 = 2³ × 11¹ × 337¹

Step-2: 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-3: Factors of 29656

List of positive integer factors of 29656 that divides 29656 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 337, 674, 1348, 2696, 3707, 7414, 14828

Step-4: Factors of 29667

List of positive integer factors of 29667 that divides 29656 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29656 and 29667. The biggest common factor number is the GCF number.
So the greatest common factor 29656 and 29667 is 11.

Also check out the Least Common Multiple of 29656 and 29667