What is the Greatest Common Factor of 29005 and 29020?

Greatest common factor (GCF) of 29005 and 29020 is 5.

GCF(29005,29020) = 5

We will now calculate the prime factors of 29005 and 29020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29005 and 29020.

How to find the GCF of 29005 and 29020?

We will first find the prime factorization of 29005 and 29020. After we will calculate the factors of 29005 and 29020 and find the biggest common factor number .

Step-1: Prime Factorization of 29005

Prime factors of 29005 are 5, 5801. Prime factorization of 29005 in exponential form is:

29005 = 5¹ × 5801¹

Step-2: Prime Factorization of 29020

Prime factors of 29020 are 2, 5, 1451. Prime factorization of 29020 in exponential form is:

29020 = 2² × 5¹ × 1451¹

Step-3: Factors of 29005

List of positive integer factors of 29005 that divides 29005 without a remainder.

1, 5, 5801

Step-4: Factors of 29020

List of positive integer factors of 29020 that divides 29005 without a remainder.

1, 2, 4, 5, 10, 20, 1451, 2902, 5804, 7255, 14510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29005 and 29020. The biggest common factor number is the GCF number.
So the greatest common factor 29005 and 29020 is 5.

Also check out the Least Common Multiple of 29005 and 29020