What is the Greatest Common Factor of 29128 and 29138?

Greatest common factor (GCF) of 29128 and 29138 is 2.

GCF(29128,29138) = 2

We will now calculate the prime factors of 29128 and 29138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29128 and 29138.

How to find the GCF of 29128 and 29138?

We will first find the prime factorization of 29128 and 29138. After we will calculate the factors of 29128 and 29138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29138

Prime factors of 29138 are 2, 17, 857. Prime factorization of 29138 in exponential form is:

29138 = 2¹ × 17¹ × 857¹

Step-3: Factors of 29128

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

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

Step-4: Factors of 29138

List of positive integer factors of 29138 that divides 29128 without a remainder.

1, 2, 17, 34, 857, 1714, 14569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29128 and 29138. The biggest common factor number is the GCF number.
So the greatest common factor 29128 and 29138 is 2.

Also check out the Least Common Multiple of 29128 and 29138