What is the Greatest Common Factor of 29010 and 29023?

Greatest common factor (GCF) of 29010 and 29023 is 1.

GCF(29010,29023) = 1

We will now calculate the prime factors of 29010 and 29023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29010 and 29023.

How to find the GCF of 29010 and 29023?

We will first find the prime factorization of 29010 and 29023. After we will calculate the factors of 29010 and 29023 and find the biggest common factor number .

Step-1: Prime Factorization of 29010

Prime factors of 29010 are 2, 3, 5, 967. Prime factorization of 29010 in exponential form is:

29010 = 2¹ × 3¹ × 5¹ × 967¹

Step-2: Prime Factorization of 29023

Prime factors of 29023 are 29023. Prime factorization of 29023 in exponential form is:

29023 = 29023¹

Step-3: Factors of 29010

List of positive integer factors of 29010 that divides 29010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 967, 1934, 2901, 4835, 5802, 9670, 14505

Step-4: Factors of 29023

List of positive integer factors of 29023 that divides 29010 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29010 and 29023. The biggest common factor number is the GCF number.
So the greatest common factor 29010 and 29023 is 1.

Also check out the Least Common Multiple of 29010 and 29023