What is the Greatest Common Factor of 29117 and 29128?

Greatest common factor (GCF) of 29117 and 29128 is 11.

GCF(29117,29128) = 11

We will now calculate the prime factors of 29117 and 29128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29117 and 29128.

How to find the GCF of 29117 and 29128?

We will first find the prime factorization of 29117 and 29128. After we will calculate the factors of 29117 and 29128 and find the biggest common factor number .

Step-1: Prime Factorization of 29117

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

29117 = 11¹ × 2647¹

Step-2: Prime Factorization of 29128

Prime factors of 29128 are 2, 11, 331. Prime factorization of 29128 in exponential form is:

29128 = 2³ × 11¹ × 331¹

Step-3: Factors of 29117

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

1, 11, 2647

Step-4: Factors of 29128

List of positive integer factors of 29128 that divides 29117 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 331, 662, 1324, 2648, 3641, 7282, 14564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29117 and 29128. The biggest common factor number is the GCF number.
So the greatest common factor 29117 and 29128 is 11.

Also check out the Least Common Multiple of 29117 and 29128