What is the Greatest Common Factor of 29106 and 29117?

Greatest common factor (GCF) of 29106 and 29117 is 11.

GCF(29106,29117) = 11

We will now calculate the prime factors of 29106 and 29117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29106 and 29117.

How to find the GCF of 29106 and 29117?

We will first find the prime factorization of 29106 and 29117. After we will calculate the factors of 29106 and 29117 and find the biggest common factor number .

Step-1: Prime Factorization of 29106

Prime factors of 29106 are 2, 3, 7, 11. Prime factorization of 29106 in exponential form is:

29106 = 2¹ × 3³ × 7² × 11¹

Step-2: Prime Factorization of 29117

Prime factors of 29117 are 11, 2647. Prime factorization of 29117 in exponential form is:

29117 = 11¹ × 2647¹

Step-3: Factors of 29106

List of positive integer factors of 29106 that divides 29106 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 49, 54, 63, 66, 77, 98, 99, 126, 147, 154, 189, 198, 231, 294, 297, 378, 441, 462, 539, 594, 693, 882, 1078, 1323, 1386, 1617, 2079, 2646, 3234, 4158, 4851, 9702, 14553

Step-4: Factors of 29117

List of positive integer factors of 29117 that divides 29106 without a remainder.

1, 11, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29106 and 29117. The biggest common factor number is the GCF number.
So the greatest common factor 29106 and 29117 is 11.

Also check out the Least Common Multiple of 29106 and 29117