What is the Greatest Common Factor of 29138 and 29150?

Greatest common factor (GCF) of 29138 and 29150 is 2.

GCF(29138,29150) = 2

We will now calculate the prime factors of 29138 and 29150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29138 and 29150.

How to find the GCF of 29138 and 29150?

We will first find the prime factorization of 29138 and 29150. After we will calculate the factors of 29138 and 29150 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29150

Prime factors of 29150 are 2, 5, 11, 53. Prime factorization of 29150 in exponential form is:

29150 = 2¹ × 5² × 11¹ × 53¹

Step-3: Factors of 29138

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

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

Step-4: Factors of 29150

List of positive integer factors of 29150 that divides 29138 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 53, 55, 106, 110, 265, 275, 530, 550, 583, 1166, 1325, 2650, 2915, 5830, 14575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29138 and 29150. The biggest common factor number is the GCF number.
So the greatest common factor 29138 and 29150 is 2.

Also check out the Least Common Multiple of 29138 and 29150